Curriculum Vitaeof Sorin Dragomir (b. 1955)

Studies

1992 Ph.D. in Mathematics, State University! of New York at StonyBrook.

1980 Diploma de specializare in Algebra §i Geometrie, Universitateadin Bucuresti, Romania.

1979 Diploma in Mathematics, Universitatea din Bucuresti, Romania.

1974 Diploma de Bacalaureat, Liceul/ icolae Bàlcescu, Bucuresti,Romania.

Positions

2001- Professor ' (Professore Ordinario di Analisi Matematica)at Dipartimento di Matematica, Informatica ed Economia dell' Universitàdegli Studi della Basilicata, Potenza, Italy.

1992-2001 Associate Professar (Professore Associato di Geometria)at Politecnico di Milano, Milan, Italy (1992-1996) and Università degliStudi della Basilicata, Potenza, Italy (1996-2001).

1991-1992 Researcher (Ricercatore Universitario) at Università degliStudi della Basilicata, Potenza, Italy.

1985-1989 Professore a Contratto at Università degli Studi della Basil-icata, Potenza, Italy.

1984-1985 Researcher at Departrnentul'' de Mecanica Solidelor, In-stitutul de Fizica §i Tehnologia Materialelor, Bucuresti, Romania.

lToday Stony Brook University, New York, U.S.A.2Today Colegiul Sf. Sava, Bucharest, Romania.3Head of Dipartimento di Matematica e Informatica and member of Senato Ac-

cademico of the University of Basilicata since 2007.4Today the Department of Solid Mechanics of the Romanian Academy.

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1981-1984 Mathematics Teacher at Scoala de Educatie Ceneralà N.206, Bucuresti, Romania.

Visiting Positions

2014 (June) American Institute of Mathematics, Palo Alto, CA,U.S.A. (invited by D. Varolin).

2014 (April) Department of Mathematics, University of Arkansas atFayetteville, U.S.A. (invited by M. Peloso)

2013 (April) Department of Mathematica, University of Illinois atUrbana-Champaign, U.S.A. (invited by J. D'Angelo)

2013 (May) Department of Matematics, Rutgers University at Cam-den, U.S.A. (invited by H. Jacobowitz)

2010 (June) Visiting Professor (of C.N.R.S.) at Laboratoire de Ma-thématiques et Physique Théorique, Université François Rabelais, Tours,France (invited by M. Soret)

2008 (June) Visiting Professor (of C. .R.S.) at Laboratoire de Ma-thématiques Jean Leray, UMR 6629 C RS, Université de Nantes, 2,France (invited by R. Petit).

2007 (September) Visiting Professor at Tokyo Metropolitan Univer-sity, Tokyo, Japan (invited by Y. Kamishima).

2006 (June) Visiting Professor at University of Windsor, Windsor,Ontario, Canada (invited by K.L. Duggal).

2005 (June) Visiting Professor at University of Windsor, Windsor,Ontario, Canada (invited by K.L. Duggal).

2003 (September 3-21) Visiting Professor at Tohoku University, Sendai,Japan (invited by S. Nishikawa).

2001 (April-May-June) Visiting Professor at Michigan State Univer-sity, East Lansing, U.S.A. (invited by D.E. Blair).

2000 (October 1-30) Visiting Professor at Tohoku University, Sendai,Japan (invited by H. Urakawa).

1998 (October 1-30) Visiting Proofessor at Tohoku University, Sendai,Japan (invited by H. Urakawa).

Invited Talks (up to 2011)

2011 (November 25) Giornata di lavoro in ricordo di Bruno Pini,Seminari di Analisi Matematica, Dipartimento di Matematica di Bologna(organized by F. Ferrari, B. Franchi, E. Lanconelli) with the lectureHarmonic Vector Fields: Variational Principles and Differential Ge-ometry.

2008 (May 27-30) Geometric Methods in PDEs (A conference on theoccasion of the 65th birthday or Ermanno Lanconelli), Bologna, Italyorganized by B. Franchi (Università di Bologna), C. Gutierrez (TempIeUniversity, Philadelphia), S. Polidoro (Università di Modena e ReggioEmilia) with the lecture GR geometry and subelliptic theory.

2007 (September 18-20) Variational Problems in Geometry (celebrat-ing Professor Seiki Nishikawa's 60th birthday), Sendai, Japan, orga-nized by K. Akutagawa (Tokyo University of Science), H. Kamada(Miyagi University of Education), K. Ueno (Yamagata University),H. Izeki (Tohoku University), S. Yamada (Took University), H. Fu-ruhata (Hokkaido University), T. Tanighuchi (Kitasato University), D.Watabe (Saitama Institute of Technology) with the lecture Subellipticharmonic morphisms.

2007 (June 29) Holomorphic Functions Spaces (a meeting in honorof R. Rochberg), Politecnico di Torino, organized by M. Peloso andA. Tabacco (invited by M. Peloso) with the lecture The Graham-Leeconnection and C'" regularity up to the boundary of Bergman harmonicmaps.

2007 (June 13-16) Recent Advances in Differential Geometry, Inter-national Conference in honor of Prof. O. Kowalski, Lecce, Italy (invitedby R. Marinosci and D. Perrone) with the lecture Subelliptic harmonicmaps, morphisms, and vector fields.

2005 (September 11-21) Workshop Geometry of pseudo-Riemannianmanifolds with application in Physics, organized by D. Alekseevski andH. Baum at the Erwin Schréidinger Institute for Mathematical Physics,Vienna, Austria (invited by H. Baum) with the lecture Fefferman met-rics: Recent applications.

2004 (September 12-17) Convegno CIRM GR geometry and partialdifferential equations, Levico Terme, Italy (invited by M. Peloso) withthe lecture Yang-Mills fields on GR manifolds.

2004 (March 16) Opening talk entitled Sui sistemi lineari di equazionia derivate parziali del primo ordine le cui soluzioni sono necessaria-mente funzioni armoniche at the meeting "G. Cimmino", Departmentof Mathematics of Università di Bologna (invited by E. Lanconelli).

2003 (June 16-22) Workshop Second order subelliptic equations andapplications, Cortona, Italy (organizers 1. Birindelli, C. Gutierez and E.

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Lanconelli) with the lecture The Fefferman metric and pseudoharmonicmaps (invited by E. Lanconelli).

2003 (June 2-6) Convegno CIRM Gomplex Analysis and Geometry-XVI, Levico Terme, Italy (invited by V. Ancona) with the lectureGauchy-Riemann orbifolds.

2003 (May 14-17) Workshop Topics in Gomplex and Real Geometry,Centro di Ricerca Matematica ENNIO DE GIORGI, Collegio Puteano,Pisa, Italy (invited by G. Tomassini) with the lecture Applicazioni ar-moniche subellittiche.

2002 (November 3-9) Workshop Aspects of foliation theory in ge-ometry, topology and physics (July-December 2002), organized by J.Glazebrook, F. Kamber and K. Richardson at the Erwin SchròdingerInstitute for Mathematical Physics, Vienna, Austria (invited by K.Richardson) with the lecture Foliated GR manifolds,http://faculty.tcu.edu/richardson/ESIFoliationAbs.htm#ACampo

2002 (June 12-16) Special Session on Gomplex, contact and quater-nionic geometry of the First Joint AMS-UMI meeting in Pisawww.dm.unipi.it/..-.meet2002 (invited by D.E. Blair (Michigan StateUniversity) and S. Marchiafava (Università di Roma "La Sapienza")with the lecture Subelliptic harmonic maps(http://TilTilw.mat .uniromal. i t/CCQG02).

Research Projects (up to 2005)

2004-2005 Responsabile for the interdisciplinary project Nonlinearsubelliptic equations of variational origin in contact geometry (sup-ported by INdAM, Italy). Members of the project: G. Citti, E. Lan-conelli, A.M. Montanari, F. Uguzzoni (Università di Bologna), M. Peloso(Politecnico di Torino), G. Calvaruso, D. Perrone (Università di Lecce),E. Barletta, S. Dragomir (Università degli Studi della Basilicata).

Participation at P.R.I.N (Progetto di Ricerca di Interesse Nazionale):1998, 2000, 2002: P.R.I.N's title: Sottovarietà e strutture speciali

delle varietà reali e complesse: strutture di Gauchy-Riemann, strutturedi contatto, struture localmente conformemente Kaehleriane, funzionecrescià delle varietà Riemanniane, sottovarietà speciali degli spazi sim-metrici, azioni coisotrope (National coordinator V. Ancona, local co-ordinator E. Musso).

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2005, 2007: P.R.I.N's title: Geometria delle varietà Riemanniane edi Cauchy-Riemann (National eoordinator: S. Salamon, local coordi-nator: D. Perrone).

2009: P.R.I.N's title: Differential Geometry and Global Analysis (Na-tional eoordinator: S. Salamon, local" eoordinator: S. Dragomir).

Research interests

I am interested in Differential geometry (submanifolds of Hermitian mani-folds, harmonic maps, Yang-Mills fields) complex analysis in several complexvariables (tangential Cauchy-Riemann equations, Bergman kernels) and thetheory of Partial Differential Equations (nonlinear subelliptic systems ofvariational origin). Interdisciplinary aspects (among differential geometryand analysis) are and will be manifest in my research work. My general goalis to participate at the preservation, dissemination and development of bothWestern ad Eastern mathematical sciences.

CR structures are a bundle theoretic recast of the tangenti al Cauchy-Riemann equations 8bu = Oand may be thought of as a geometric frameworkfor their study. Any strictly pseudoconvex CR manifold M endowed with acontact form B carries a natural second order subelliptic (of order € = 1/2)operator, the sublaplacian 6.b of (M, B). Consequently the equations

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6.b</Ji + :L (f;k o </J) Xa(q?)Xa(</Jk) = Oa=1

describing all SI-invariant harmonic maps ~ = </J o 7r : C(M) -+ N from thetotal space C(M) ofthe canonical circle bundle SI -+ C(M) 2t M endowedwith the Fefferman metric F() (a Lorentz metri c on C(M)) form a nonlinearsubelliptic system of variational origino The research efforts outlined in thisdocument are devoted to the description of the impact of subelliptic theoryon the study of geometric objects appearing on a strictly pseudoconvex CRmanifold, such as subelliptic harmonic maps and morphisms. For instancelet SV = {x E ]Rv+l : L~~ll xt = l} and let E C SV be a codimension 2totally geodesic submanifold. A continuous map </J : M -+ SV meets E if</J(M)nE =I 0. Let </J : M -+ SV be a map that doesnt meet E. Then </J linksE if the map </J : M -+ S" \ E is not null-hornotopic. Then a nonconstantsubelliptic harmonic map </J : M -+ SV of a compact strictly pseudoconvexCR manifold M into a sphere SV either links or meets E (cf. [5]).

The above choice of a research line is based on the expectation that subel-liptic theory is bound to play within CR geometry the strong role playedby elliptic theory in Riemannian geometry. It will request qualifications be-longing to four distinct mathematical areas: real and complex differenti al

5For the universities of Bari, Lecce, Palermo and Potenza.

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geometry, analysis in several complex variables, partial differenti al equa-tions, and noncommutative harmonic analysis.

Harmonic maps between Riemannìan manifolds (i.e. critical points of theDirichlet functional) are a consolidated research argument. The harmonicfunctions, the geodesics in a Rìemannian manifold, the Riemannian sub-mersions with minimal fibres, and the harmonic morphisms, are examplesof harmonic maps. Harmonic maps admit a natural generalization in thecontext of the theory of Hòrrnander systems of vector fields and naturallyassociated differenti al operators (sums of squares of vector fields). The re-sulting notion (i.e. that of a subelliptic harmonic map) was studied by J.Jost and C-J. Xu, [7] and by Z-R. Zhou, [9], as part of an ampler programaiming to extending results holding for nonlinear elliptic systems of varia-tional origin to the more general case of hypoelliptic equations. Precisely J.Jost and C-J. Xu have solved (cf. op. cit.) the Dirichlet problem for thesubelliptic harmonic maps with values in regular balls in a complete Rie-mannian manifold of sectional curvature bounded from above and thereforestudied the existence and regularity of the weak solutions to the subellip-tic harmonic map system, whose principal part is the Hòrrnander operator(associated to a given Hòrrnander system of vector fields), a subelliptic op-erator of order 1/2. The uniqueness of the solution to the Dirichlet problemwas also studied by Z-R. Zhou (cf. op. cit.) for a notion of subelliptic har-monic map which, at a first sight, slightly generalizes J. Jost and C-J. Xu'snotion. However, as observed by E. Barletta, S. Dragomir and H. Urakawa,[2]' the two notions are but local manifestations of the same global object,i.e. that of a pseudoharmonic map from a nondegenerate CR manifold intoa Riemannian manifold. E. Barletta, [1]' has also introduced the notion ofa pseudoharmonic morphism (a smooth map from a CR manifold such thatthe pullback of a local harmonic function on the target Riemannian manifoldis a local harmonic of the sublaplacian) and proved that a pseudoharmonicmorphism is a subelliptic harmonic map. The result is the access to a fieldof inquiry which appears to be infinite in terms of possible applications andfuture developments. Here are a few examples.

A foliation F of a Riemannian manifold M produces harmonic morphismsif each point of M possesses an open neighborhood U which is the domainof a submersive harmonic morphism whose fibres are open subsets of theleaves of F. By the Fuglede-Ishihara theorem (cf. [6]) every foliation whichproduces harmonic morphisms is a conforrnal foliation and a codimension 2foliation F produces harmonic morphisms if and only if F is conforrnal andhas minimalleaves. Which foliations of a CR manifold produce pseudohar-monic morphisms and which is the appropriate CR, or contact, analog to thenotion of minimality? By geometric intuition one expects that Riemannianminimality may correspond to the notion of minimality with respect to theintrinsic perimeter in stratified groups of step 2 properly generalized to thecase of a submanifold of a CR manifold. The relationship among foliations

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on C(M) (the total space of the canonical circle bundle over a strictly pseu-doconvex CR manifold M) producing harmonic morphisms (with respectto the Fefferman metric) and foliations on M producing pseudoharmonicmorphisms may be studied with the methods introduced by S. Dragomirand S. ishikawa, [4]. Is it possible to classify pseudoharmonic morphisms,with one-dimensional fibres, from a pseudo-Einstein CR manifold (that isa nondegenerate CR manifold whose pseudohermitian Ricci tensor - of theTanaka-Webster connection - is proportional to the Levi form)?

Since the Fuglede-Ishihara theorem plays a fundamental role in the the-ory of harmonic morphisms among Riemannian manifolds, it is a naturalquestion whether it may be recovered for the case of smooth maps betweentwo CR manifolds M and N such that the pullback of a local harmonic ofthe sublaplacian on N be a local harmonic of the sublaplacian on M. Weexpect that the solution to the problem relies on the possibility of producinglocal harmonics, in a neighborhood of each point p E N, of the sublaplacianon N, with assigned (horizontal) gradient and hessian at p.

Are pseudoharmonic morphisms open maps? Besides from geometric in-tuition, indicating a positive answer, the recent results in the theory ofsubelliptic equations (existence of fundamental solutions to Hòrrnander op-erators, Harnack-type inequalities, etc.) make available techniques whichare familiar to the researcher from Riemannian geometry.

What other ramifications do pseudoharmonic morphisms admit, e.g. doramifications that mimic heat equation morphisms and heat kernel mor-phisms (in Riemannian geometry) prove useful in CR geometry? The resultsby R. Beals and P.C. Greiner and N.K. Stanton, [3], on the heat equationon a CR manifold may be of a use similar to that of the Minakshisundaram-Pleijel asymptotic development of the heat kernel on a Riemannian manifoldin E. Loubeau's results (cf. [8]).

REFERENCES

[IJ E. Barletta, Hiirmander systems and harmonic morphisms, Annali dellaScuola Normale Superiore di Pisa, Scienze Fisiche e Matematiche, Serie V,(2)2(2003), 379-394.

[2J E. Barletta & S. Dragomir & H. Urakawa, Pseudoharmonic maps from anondegenerate GR manifold into a Riemannian manifold, Indiana Univer-sity Mathematics Journal, (2)50(2001),719-746.

[3J R. Beals & P.C. Greiner & N.K. Stanton, The heat equation on a GRmanifold, J. Diff. Geometry, 20(1984), 343-387.

[4J S. Dragomir & S. ishikawa, Foliated GR manifolds, J. Math. Soc. Japan,(4)56(2004), 1031-1068.

[5J S. Dragomir & Y. Kamishima, Pseudoharmonic maps and vector fields onGR manifolds, J. Math. Soc. Japan, (1)62(2010), 269-303.

[6J T. Ishihara, A mapping of Riemannian manifolds which preserves harmonicfunctions, J. Math. Kyoto Univ., (2)19(1979), 215-229.

[7J J. Jost & C-J. Xu, Subelliptic harmonic maps, Trans. of A.M.S.,(11)350(1998), 4633-4649.

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[8] E. Loubeau, Morphisms 01 the heat equation, Annals of Global Analysisand Geometry, 15(1997), 487-496.

[9] Z.R. Zhou, Uniqueness 01 subelliptic harmonic maps, Annals of GlobalAnalysis and Geometry, 17(1999), 581-594.

Publication List (up to 2011):

I. Papers

1. Gravity as a Finslerian metric phenomenon, Foundations of Physics,DoI 10.1007/810701-011-9614-8, Published online: 23 ovember 2011(with E. Barletta).

2. Gontact harmonic maps, Differential Geometry and its Applications,published online athttp://dx.doi.org/l0.l016/j.difgeo.2011.10.004,2011 (with R. Petit).

3. On the curvature groups of a Riemannian foliation, The QuarterlyJournal of Mathematics, (2011) first published online June 21,2011doi: 10 .1093/qmath/har004 (with R. Petit) (Impact Factor 0.656).

4. On p-harmonic maps into spheres, Tsukuba Journal of Mathematics,(2)35(2011), 1-6 (with A. Tommasoli).

5. Harmonic vector fields on compact Lorentz surfaces, Ricerche di Matem-atica, Online First, 30 March 2011,DO! 10.1007/811587-011-0113-1 (withM. Soret) (H Index: 4).

6. On Lewy's unsolvability phenomenon, Complex Variables and Ellip-tic Equations, 2011, 1-11, DoI:l0.l080/17476933.2010.534150 (with E.Barletta)

7. Pseudoharmonic maps and vector fields on GR manifolds, J. Math.Soc. Japan, (1)62(2010), 269-303 (with Y. Kamishima).

8. Subelliptic harmonic morphisms, Osaka J. Math., 46(2009), 411-440(with E. Lanconelli).

9. Subelliptic harmonic maps, morphisms, and vector fields, Note diMatematica, (1)28(2009), 131-146.

lO. Vector valued holomorphic functions, Bull. Math. Soc. Sci. Math.Roumanie, Tome 52(100) No.3, 2009, 211-226 (with E. Barletta).

11. Sublaplacians on GR manifolds, Bull. Math. Soc. Sci. Roumanie,Tome 52(100) No.1, 2009, 3-32 (with E. Barletta).

12. Gauchy-Riemann geometry and subeliptic theory, Lecture Notes ofSeminario Interdisciplinare di Matematica, 7(2008), 121-162.

13. Indefinite extrinsic spheres, Tsukuba J. Math., (2)32(2008), 335-348(with K.L. Duggal).

14. Discrete heat equation morphisms, Interdisciplinary Information Sci-ences, (2)14(2008), 225-244 (with V. Abatangelo).

15. Minimality in GR geometry and the GR Yamabe problem on GRmanifolds with boundary, J. Math. Soc. Japan, (2)60(2008), 363-396.

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16. Discrete Fourier calculus and graph reconstruction, InterdisciplinaryInformation Sciences, (2)13(2007), 163-180 (with V. Abatangelo).

17. Indefinite locally conformal Kiihler manifolds, Differential Geometryand its Applications, (1)25(2007),8-22 (with K.L. Duggal).

18. On the geometry of tangent hyperquadric bundles: GR and pseudohar-monic vector fields, Annals of Golbal Analysis and Geometry, (3)30(2006),211-238 (with D. Perrone).

19. On first order PDE systems all of whose solutions are harmonic maps,Tsukuba J. Math., (1)30(2006), 149-170 (with E. Lanconelli).

20. On the curvature groups of a GR manifold, Mediterranean Journal ofMathematics, (3-4)3(2006), 399-407 (with E. Barletta).

21. Jacobi fields of the Tanaka- Webster connection on Sasakian mani-folds, Kodai Math. Journal, (3)29(2006),406-454 (with E. Barletta).

22. Yang-Mills fields on GR manifolds, Journal of Mathematical Physics,(8)47(2006), 1-41 (with E. Barletta and H. Urakawa).

23. Yang-Mills fields on 3-dimensional nondegenerate GR manifolds, Lec-ture Notes of Seminario Interdisciplinare di Matematica, 4(2005), 87-102(with E. Barletta).

24. Sull'opera di Gianfranco Gimmino legata all'analisi in una e più vari-abili complesse, Seminario di Analisi Matematica, Dipartimento di Matem-atica dell'Università di Bologna, Marzo-Maggio 2004, 1-24.

25. On the regularity of subelliptic F -harmonic maps, Tsukuba Journalof Mathematics, (2)28(2004), 417-436 (with E. Barletta).

26. Foliated GR manifolds, J. Math. Soc. Japan, (4)56(2004), 1031-1068(with S. Nishikawa).

27. Pseudoharmonic maps with potential, Lecture Notes of SeminarioInterdisciplinare di Matematica, 3(2004), 38-55, Procedings of the Workshopon Second order subelliptic equations and applications, Cortona, June 16-22,2003, Ed. by I. Birindelli & E. Lanconelli & C. Goutierez (with E. Barletta).

28. Yang-Mills theory and conjugate connections, Differential Geometryand its Applications, 18(2003), 229-238 (with T. Ichiyama and H. Urakawa).

29. GR products in locally conformal Kiihler manifolds, Kyushu Journalof Mathematics, 56(2002), 337-362 (with D.E. Blair).

30. Pseudohermitian geometry on contact Riemannian manifolds, Rendi-conti di Matematica, Roma, 22(2002), 275-341 (with D.E. Blair).

31. Gauchy-Riemann orbifolds, Tsukuba J. Math., (2)26(2002), 351-386(with J. Masamune).

32. The Rossi- Vergne theorem and constant coeffìcient PDEs on the Hei-senberg group, in Selected Topics in Gauchy-Riemann geometry, Quadernidi Matem., Series Ed. by Dipartimento di Matematica - Seconda Universitàdi Napoli - Caserta, 9(2001), 89-98 (with D.E. Blair).

33. Gombinatorial PDE's on Hamming graphs, Discrete Mathematics,254(2002), 1-18 (with E. Barletta).

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34. Differential equations on contact Riemannian manifolds, Annali dellaScuola Normale Superiore di Pisa, Serie IV, (1)XXX(2001), 63-96 (with E.Barletta).

35. A new upper bound on the Gheeger number of a graph, Journal ofCombinatorial Theory, Series B, 82(2001),167-174 (with E. Barletta).

36. Unstable harmonic maps into real hypersurfaces of a complex Hopfmanifold, Tsukuba J. Math., (1)25(2001), 203-214 (with M.R. Enea).

37. Pseudoharmonic maps from nondegenerate GR manifolds to Rie-mannian manifolds, Indiana University Mathem. Journal, (2)50(2001), 719-746 (with E. Barletta and H. Urakawa).

38. On the inhomogeneous Yang-Mills equation d'DRD = t. Interdisci-plinary Information Sciences, (1)6(2000), 41-52 (with H. Urakawa).

39. Pseudohermitian geometry, Bulletin Mathématique de la Société desSciences Mathématiques de Roumanie, (3-4)43(2000), 225-246.

40. On Norden metrics which are locally conformal to anti-Kiihlerianmetrics, Acta Applicandae Mathematicae, 60(2000), 115-135 (with M. Fran-caviglia).

41. Gomplex Finsler structures on GR-holomorphic vector bundles, Ren-diconti di Matematica, Roma, Serie VII, 19(1999), 427-447 (with P. Nagy).

42. On boundary behaviour of symplectomorphisms, Kodai Math. J.,21(1998),285-305 (with E. Barletta).

43. On the Djrbashian kernel of a Siegel domain, Studia Mathematica,(1)127(1998),47-63 (with E. Barletta).

44. A survey of pseudohermitian geometry, The Proceedings of the Work-shop on Differential Geometry and Topology, Palermo (Italy), June 3-9,1996, in Supplemento ai Rendiconti del Gircolo Matematico di Palermo, Se-rie II, 49(1997), 101-112.

45. New GR invariants and their application to the GR equivalence prob-lem, Ann. Scuola Norm. Sup. Pisa, (1)XXIV(1997), 193-203 (with E.Barletta).

46. Transversally GR foliations, Rendiconti di Matematica, Roma, 17(1997),51-85 (with E. Barletta).

47. On the spectrum of a strictly pseudoconvex GR manifold, Abhandlun-gen Math. Sem. Univo Hamburg, 67(1997), 143-153 (with E. Barletta).

48. On Q-Lie foliations with transverse GR structure, Rendiconti diMatem., Roma, 16(1996), 169-188 (with E. Barletta).

49. Pseudohermitian immersions, pseudo-Einstein structures, and the Leeclass of a GR manifold, Kodai Math. J., 19(1996),62-86 (with E. Barletta).

50. On the normal bundle of a complex submanifold of a locally conformaiKaehler manifold, Journal of Geometry, 55(1996), 57-72.

51. On the GR structure of the tangent sphere bundle, Le Matematiche,Catania, (2)L(1995), 237-249 (with E. Barletta).

52. Pseudohermitian geometry and interpolation manifolds, ComplexVariables, 27(1995), 105-115.

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53. A classification of totally umbilical GR submanifolds of a generalizedHopf manifold, BolI. U.M.I., (7)9-A(1995), 557-568 (with R. Grimaldi).

54. Pseudohermitian immersions between strictly pseudoconvex GR man-ifolds, American J. Math., (1)117(1995), 169-202.

55. On a conjecture of l.M. Lee, Hokkaido Math. J., (1)23(1994),35-49.56. On manifolds admitting metrics which are locally conformal to cosym-

plectic metrics: their canonical foliations, Boothby- Wang fiberings, and realhomology type, Colloquium Mathematicum, (1)LXIV(1993), 29-40 (with M.Capursi).

57. On GR submanifolds all of whose local geodesic symmetries preservethe fundamental form, Annales Polonici Mathematici, (2)LVII(1992), 99-103(with M. Capursi).

58. Generalized Hopf manifolds, locally conformal Kaehler structures, andreal hypersurfaces, Kodai Math. J., 14(1991), 366-391.

59. GR submanifolds of locally conformal K aehler manifolds. IlI, SerdicaBulgaricae Math. PubI., 17(1991), 3-14 (with R. Grimaldi).

60. Submanifolds of generalized Hopf manifolds, type numbers and thefirst Ghern class of the normal bundle, Annali di Matem. Pura Appl., Ser.IV, CLX(1991), 1-18 (with M. Capursi).

61. Kaehlerian Weyl manifolds of positive curvature, SeminarberichteFachbereich Mathematik Informatik, 40(1991), 14-20 (with A. Farinola).

62. Gontact GR submanifolds of odd dimensional spheres, Glasnik Math-ematicki, 25(1990), 167-172 (with M. Capursi).

63. On submanifolds of Sasakian manifolds, Mathematica Balkanica,N.S., (2)4(1990), 161-169.

64. GR submanifolds of manifolds carrying f -structures with comple-mented frames, Soochow J. Math., Taiwan, (2)16(1990), 193-209 (with R.Grimaldi).

65. GR submanifolds of locally conformal Kaehler manifolds. II, AttiSem. Mat. Fis. Univo Modena, 37(1989), 1-11.

66. GR submanifolds of locally conformal K aehler manifolds. I, Geome-triae Dedicata, 28(1988), 181-197.

67. Generalized Hopf manifolds with fiat local Kaehler metrics, Ann. Fac.Sci. Toulouse, (3)10(1989),361-368 (with R. Grimaldi).

68. Isometric immersions of Riemann spaces in a real Hopf manifold, J.Math. Pures Appl., 68(1989), 355-364 (with R. Grimaldi).

69. On the topology of Riemann spaces of quasi-constant curvature, Publ.de l'Inst. Mathématique, N.S., 46(1989), 183-187 (with R. Grimaldi).

70. Gauchy-Riemann submanifolds of Kaehlerian Finsler spaces, Col-lectanea Mathematica, (3)40(1989), 225-240.

71. On reducible Finsler spaces with a vanishing R]k torsion tensor field,Acta Math. Hung., (1-2)54(1989),29-37 (with B. Casciaro).

72. On submanifolds of Hopf manifolds, Israel J. Math., (2)61(1988),199-210.

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73. Submanifold» in Finsler spaces 01 scalar-curvature, Ricerche di Matem-atica, (I)XXXVII(1988), 85-95.

74. On submasiifolds 01 Finsler spaces, Tensor, .S., 47(1988), 272-285(with L.M. Abatangelo and S-I. Hojo).

75. Harmonic [unctions on Finsler spaces, Istanbul Univo Fen. Fak. Mat.Der., 48(1987-1989), 67-76 (with B. Larato).

76. On Finsler spaces 01 negative scalar curvature, Mem. Konan Univ.,Sci. Ser., (2)34(1987), 199-206 (with M. Capursi and S-I. Hojo)

77. Induced Riemannian metrics associated with the Wrona metric, Is-tanbul Univo Fen. Fak. Mat. Der., 48(1987-1989), 77-83 (with A. Farinola).

78. On Jacobi fields in Finsler geometry, Rendiconti del Circolo Matem-atico di Palermo (Communicazione presentata dal Socio nazionale Prof. B.Pettineo nel a seduta del 29 aprile 1987), pp. 1-16,1989 (with M. Falcitelli).

79. On ihe Finslerian Schouten spaces, Rendiconti del Circolo Matem-atico di Palermo (Communicazione presentata dal Socio nazionale Prof. B.Pettineo nel a seduta del 29 aprile 1987), pp. 17-21,1989 (with O. Amici).

80. The geometric interpretation 01 the sectional curvature 01 a Finslerspace, Istanbul Univo Fen. Fak. Mat. Der., 48(1987-1989), 85-97.

81. On the topology 01 Landsberg spaces, Riv. Mat. Univo Parma,(4)13(1987),305-313 (with M. Capursi).

82. Totally real submanifolds 01 generalized Hop] manijolds, Le Matem-atiche, Catania, XLII(1987), 3-10.

83. On the field equations in the theory 01 the gravitational fields in Finslerspaces, Tensor, N.S., 44(1987), 157-163 (with S. Ikeda).

84. On Ricci tensors 01 Kaehlerian Weyl manifolds, Seminarberichte ausdem Fachbereich Mathematik und Informatik, 27(1987), 1-12 (with L.M.Abatangelo).

85. On the geometry 01 the Finslerian G-structures on differentiable man-ifolds, Bolletino U.M.I. Algebra e Geometria, Serie VI, VoI. V-D, N. 1, 1986.

86. On Finsler manifolds with complete horizontalleaves, Seminarberichteaus dem Fachbereich Mathematik und Informatik, 25(1986), 39-54.

87. On lifts 01 Finslerian G-structures associated to a non-linear connec-tion, Rediconti di Matem. Appl., Serie VII, (3)6(1986), 365-381 (with L. DiTerlizzi).

88. On the holonomy groups 01 a connection in the induced Finsler bundle,Proceedings of the National Seminar on Finsler spaces, Brasov, 3(1983), 85-97.

89. Submomifolds 01 Finsler spaces, Conferenze del Seminario di Matem-atica dell'Università di Bari, 217(1986), 1-15 (Dipartimento di Matematica,Gius. Laterza & Figli S.p.A., Bari, 1986).

90. On the cohomology 01 Finsler manifolds, Colloq. Math. Soc. J.Bolyai, 46(1984), 57-82 (with O. Amici and B. Casciaro) (Topics in Differ-ential Geometry, Debrecen, Hungary, 1984).

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91. On the Finsleruui almost complex structures with a vanishing torsiontensor field, Rendiconti di Matematica, Roma, (3)4(1984), 439-445 (with O.Amici).

92. On the geometry of the Finsleriam almost complex spaces, Rendicondidi Matematica, Roma, (4)4(1984),587-592 (with B. Casciaro).

93. On the holomorphic curvature of K aehleriam Finsler spaces. II, Ren-diconti di Matematica, Serie VII, (4)3(1983), 757-763 (with S. Ianus).

94. On the geometry of the Finsleriasi almost complex spaces, Note diMatematica, III(1983), 159-171 (with S. Ianus).

95. On the holomorphic sectional curvature of Kaehleriasi Finsler spaces,Tensor, N.S., 39(1982), 95-98 (with S. Ianus).

96. Some algebraic properties concerning the tangent bundle of order two,Demonstratio Mathematica, (4)XV(1982), 993-1006 (with M. Radivoiovici).

97. p-Distributions on differentiable manifolds, Analele ~tiint. Univo AI.I.Guza, Iasì, XXVIII(1982), 55-58.

98. On the k-fiatness of connections, An. Univo Tirnisoara, Ser. St.Mat., (1)XIX(1981), 41-50.

99. The theorem of K. Nomizu on Finsler manifolds, An. Univo Timisoara,Ser. ~t. Mat., (2)XIX(1981), 117-127.

100. The theorem of E. Gartan on Finsler manifolds, Colocviul Natìonalde Geometrie §i Topologie, Busteni, 1981, pp. 103-112.

II. Books

101. Harmonic vector fields: variational principles and differential geome-try, Elsevier, Amsterdam- Boston- Heidelberg- London- New Yor k-Oxford- Paris-San Diego-San Francisco-Singapore-Sydney- Tokyo, 2011, ISBN 978-0-12-415826-9 (with D. Perrone).

102. Foliations in Gauchy-Riemann geometry, Mathematical Surveys andMonographs, VoI. 140, American Mathematical Society, 2007 (with E. Bar-letta and K.L. Duggal).

103. Differential geometry and analysis on GR manifolds, Progress inMathematics, VoI. 246, Birkhauser, Boston-Basel-Berlin, 2006 (with G.Tomassini) .

104. Locally conformai Kiihler geometry, Progress in Mathematics, VoI.155, Birkhauser , Boston-Basel-Berlin, 1998 (with L. Ornea).

105. Sotiouarietà minima li ed applicazioni armoniche, Quaderni dell'U-nione Matematica Italiana, vol. 35, Pitagora Editrice, Bologna, 1989 (withJ. Wood).

106. Laboratory and Applications of Geometry in Physics, (in Romanian)Universitatea din Bucuresti, Facultatea de Matematica, Bucurestì, 1981(with E. Cornea, O. Durnìtrascu, E. Halanay, E. Iacob, M. Radivoiovici).

107. Introduction to axiomatic geometry, (in Romanian) Universitateadin Bucuresti, Facultatea de Matematica, Bucuresti, Fascicola 1, 1979, Fas-cicola 2, 1980 (with D. Smaranda).

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N.B. For recent publications (after 2011) one may see

https://www.researchgate.net/profile/SorinJDragomirand

http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=Dragomir%2C+Sorin&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&s7=&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&review_format=html

Teaching (up to 2010): Several courses in (differential) geometry,complex analysis (in one and several complex variables), functionalanalysis and partial differential equations (in the period 1985-2010)both at the undergraduate and graduate level. In the last four yearsDragomir's academic teaching included graduate classes within the doc-toral programs in Bologna and Lecce and the course Complementi diMatematica (an introduction to PDEs from an applicative viewpoint)for fourth year engineering students. Author of several textbooks (writ-ten for didactic purposes) in basic calculus and geometry. Has super-vised one Ph.D. student (Cinzia Repetto, 'TUrin).

Teaching Statement. Teaching is inseparable from research work. Be-ing an active researcher improves the quality of the lessons ex cathedra(whose level will be not too distant from the present scientific knowledge)and accurate and precise teaching, together with a lucid amount of phi-losophy placing correctly mathematics within the body of human culture,is highly rewarding: whatever a scholar gives in terms of dissemination ofmathematics culture he will receive back as a "transfer" of enthusiasm andmotivation from his young public. Specific to the process of mathematicseducation is the need of commitment to teach classes at the basic introduc-tory level besides from teaching more advanced arguments: this will attractyoung talents and facilitate later choices in a field (that of mathematics)where the return (in terms of job opportunities and personal intellectualreward) is more difficult to evaluate (than in fieldsof scientificactivity pos-sessing direct means of disclosure). As frankly most academic research re-sults are not bound to find concrete applications in a life span, teachingremains a basic modality a researcher does have in order to do his share ofduty within human society.

Languages: English (fiuent), Italian (fiuent), Romanian (fiuent),French (reading), German (reading).

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Affiliations: American Mathematical Society, Unione MatematicaItaliana, Mathematical Society of Japan.

Other personal data: Born in Romania on 8/5/1955, Italian cit-izen, married (to Elisabetta Barletta). Ancestors: Dragomir's greatgrandfather (Sofrone, born in Transylvania) was an Imperial Guard inVienna. Member of no political party (in the present or in the past).Member of the chess circle in Potenza, Italy. Hobbies: Chess, tennis,skiing.