English Version


Data si locul nasterii: 14.07.1960, Bucuresti.

Studii: Facultatea de Matematica, Universitatea din Bucuresti (licenta 1984, specializare in algebra-geometrie 1985).
Doctorat: 1993, Universitatea din Bucuresti, cu teza "Structuri geometrice pe varietati complexe. Structuri local conform Kaehler" (indrumator Prof.dr. S. Ianus).
Pozitii academice: Asistent (1990-1995), Lector (1995-2000), Conferentiar (2000-2004), profesor (2004-prezent).
Pozitii de cercetare: Cerc. st. I la Institutul de Matematica "Simion Stoilow" al Academiei Romane (2007-prezent).
Cursuri predate la Facultatea de Matematica si la SNSB: Geometrie, Geometrie diferentiala, Topologie algebrica, Calcul variational in geometria riemanniana, Geometrie simplectica, Geometrie complexa, Concepte algebrice in geometrie.
Profesor/cercetator vizitator: "Max Planck" Inst. (Bonn), Ecole Polytechnique (Paris), ICTP (Trieste), "Erwin Schroedinger" Inst. (Viena), University of New Mexico (Albuquerque), Univ. din Roma "La Sapienza", Ecole Polytechnique Federale de Lausanne, Tokyo Metropolitan Univ. etc.
Domeniul de cercetare: Geometria diferentiala.
Premiul "Gheorghe Titeica" al Academiei Romane in 1998 pentru cartea "Locally conformal Kaehler geometry" (Birkhauser).


 Pentru informatii complete: pagina personala

Carti si manuale

  1. Curbe si suprafete diferentiabile (culegere de probleme), Ed. Universitatii Bucuresti, 1995.
  2. Locally conformal Kähler geometry, Progress in Math. 155, Birkhuäser, (1998) (cu Sorin Dragomir). MR99a:53081.
  3. O introducere in geometrie. Fundatia Theta 2000 (cu Adriana Turtoi). Zbl 1033.51001.

Articole stiintifice

  1. Conformally Einstein Products and Nearly Kaehler Manifolds (impreuna cu Andrei Moroianu). Annals of Global Analysis and Geometry 33(2008), 11-18.
  2. Embeddings of compact Sasakian manifolds (impreuna cu Misha Verbitsky). Mathematical Research Letters, 14 (2007), 703-710.
  3. Einstein-Weyl structures on complex manifolds and conformal version of Monge-Ampere equation (impreuna cu Misha Verbitsky). Bull. Math. Soc. Sci. Math. Roumanie Tome 51(99) No.4, 2008, 339-353.
  4. Sasakian structures on CR-manifolds (impreuna cu Misha Verbitsky). Geometriae Dedicata 125 (2007), 159-173.
  5. Constructions in Sasakian Geometry (impreuna cu Charles P. Boyer, Krzysztof Galicki). Mathematische Zeitschrift 257 (2007), 907-924.
  6. Locally conformal Kaehler manifolds with potential (impreuna cu Misha Verbitsky). Va aparea in Mathematische Annalen.
  7. Vaisman reduction in complex and quaternionic geometry (impreuna cu R.Gini, M.Parton si P.Piccinni). Journal of Geometry and Physics, 56 (2006), 2501-2522.
  8. CR-submanifolds. A class of examples. Revue roumaine de math. pures appl. 51 (2006) 77-85.
  9. Locally conformally Kaehler manifolds. A selection of results. Lecture Notes of Seminario Interdisciplinare di Matematica, 4(2005), 121-152. MR2007c:53101.
  10. Non-zero contact and Sasakian reduction (impreuna cu O.Dragulete), Differential Geometry and its Applications 24 (2006), 260-270. MR2007e:53111.
  11. Harmonicity and minimality of vector fields and distributions on locally conformal Kaehler and hyperkaehler manifolds (impreuna cu L.Vanhecke), Bull. of the Belgian Math. Soc. "Simon Stevin" 12 (2005) 543-555. MR2007d:53106.
  12. An immersion theorem for Vaisman manifolds (impreuna cu M.Verbitsky), Mathematische Annalen 332 (2005), 121-143. MR2006e:53112.
  13. Locally conformal Kaehler reduction (impreuna cu R. Gini and M. Parton). Crelle Journal fuer die Reine und Angewandte Mathematik 581 (2005), 1-21. MR2006c:53077.
  14. Geometric flow on compact locally conformally Kaehler manifolds (impreuna cu Y.Kamishima). Tohoku Math. J. 57 (2) (2005), 201-221. MR2006g:53112.
  15. Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length (impreuna cu A.Moroianu). Comptes Rendus Acad. Sci. Paris, 338 (2004), 561-564. MR2005f:58054.
  16. Structure theorem for compact Vaisman manifolds, Mathematical Research Letters, 10 (2003), 799-805 (impreuna cu M. Verbitsky). Also available at math.DG/0305259. MR2004j:53093).
  17. Potential 1-forms for hyper-Kaehler structures with torsion, Classical and Quantum Gravity 20 (2003), 1845-1856 (impreuna cu Y.S Poon si A.Swann). MR2004e:53070.
  18. Cosphere bundle reduction in contact geometry, Journal of symplectic geometry, 1(4) (2002), 695-714. (impreuna cu O.Dragulete si T.S.Ratiu) MR2004m:53141.
  19. Weyl structures in quaternionic geometry. A state of the art. Barletta, Elisabetta (ed.), Selected topics in geometry and mathematical physics. Vol.I. Potenza: Univ. degli Studi della Basilicata, Dipartimento di Matematica, Seminario Interdisciplinare di Matematica, 43-80 (2001). Zbl 1029.53055
  20. Cayley 4-frames and a quaternion Kaehler reduction related to Spin(7), Global differential geometry: the mathematical legacy of Alfred Gray (Bilbao 2000), 401-405, Contemporary Mathematics 288, Amer. Math. Soc. Providence, RI, 2001 (impreuna cu Paolo Piccinni). MR 2003c:53072.
  21. Reduction of Sasakian manifolds, Journal of Mathematical Physics 48 (2001), 3809-3816 (impreuna cu G.Grantcharov) MR 2002e:53060.
  22. Local almost contact metric 3-structures, Publicationes Mathematicae (Debrecen) 57 (2000) 499-508 (impreuna cu Paola Matzeu) MR 2002a:53057.
  23. Complex structures on some Stiefel manifolds, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 49 (2000) (impreuna cu Paolo Piccinni) MR 2002c:53120.
  24. On some moment maps and induced Hopf bundles in the quaternionic projective space, International Journal of Mathematics 11 (2000), 925-942 (impreuna cu Paolo Piccinni) MR 2002a:53061.
  25. Intersections of Riemannian submanifolds. Variations on a theme by T.J.Frankel, Rendiconti di Matematica (Roma), 19 (1999), 107-121 (impreuna cu T.Bingh si L.Tamassy) MR 2000g:53074.
  26. Locally conformal Kaehler metrics on Hopf surfaces, Annales de l'Institut Fourier, 48 (1998), 1107-1127 (impreuna cu P.Gauduchon) MR 2000g:53088.
  27. Compact hyperhermitian-Weyl and quaternion Hermitian-Weyl manifolds, Annals of Global Analysis and Geometry, 16 (1998), 383-398. (impreuna cu P.Piccinni). MR 99k:53097; Erratum, idem, 18 (2000), 105-106. MR 2000k:53044.
  28. An example of an almost hyperbolic Hermitian manifold, International Journal of Mathematics and Mathematical Sciences, 21 (1998), 613-618 (impreuna cu C.-L.Bejan). MR 98m:53039.
  29. Locally conformal Kaehler structures in quaternionic geometry, Transactions of the American Mathematical Society, 349 (1997), 641-655, (impreuna cu P.Piccinni). MR 97e:53091.
  30. Induced Hopf bundles and Einstein metrics, in New developments in differential geometry, Budapest (1996), 295-306, Kluwer (impreuna cu P.Piccinni). MR 99k:53099.
  31. Weyl structures on quaternionic manifolds, Proceedings of the Meeting on Quaternionic Structures in Mathematics and Physics, Trieste 1994. SISSA, Trieste, (1996), 261-267, (impreuna cu P.Piccinni). MR 99k:53098.
  32. Holomorphic and harmonic maps on locally conformal Kaehler manifolds, Bolletino dell'Unione Matematica Italiana, (7)9-A(1995), 569-579, (impreuna cu S.Ianus, V.Vuletescu), MR 96i:58037.
  33. Conformal geometry of Riemannian submanifolds. Gauss, Codazzi and Ricci equations, Rendiconti di Matematica (Roma), 15, (1995), 233-249, (impreuna cu G.Romani). Zbl. 833:53015.
  34. Extrinsic spheres of a generalized Hopf manifold. Publ. Math. Debrecen 44 (1994), 189-200 (impreuna cu S.Ianus, K.Matsumoto). MR94m:53080.
  35. Locally conformal Kaehler manifolds. A survey, Quaderno n. 12, Dip. di Mat., Univ. di Roma "La Sapienza", (1994).
  36. The fundamental equations of conformal submersions, Beitrage zur Algebra und Geometrie / Contributions to Algebra and Geometry, 34, (1993), 233-243, (impreuna cu G.Romani), MR 95a:53055.
  37. Submanifolds with parallel second fundamental form in a generalized Hopf manifold, Ricerche di Matematica (Napoli), XLII, (1993), 3-9, MR 95d:35066.
  38. Immersions spheriques dans une variete de Hopf generalisee, Comptes Rendus de l' Acad. Sci. Paris, 316, (1993), 63-66, (impreuna cu S.Ianus, K.Matsumoto), MR 93m:53067.
  39. A theorem on nonnegatively curved locally conformal Kaehler manifolds, Rendiconti di Matematica (Roma), serie VII, 12, (1992), 257-262, MR 93h:53071.
  40. A certain symmetric F-connection in locally conformal Kaehler manifolds. Bull. Yamagata Univ. Natur. Sci. 12 (1991), no.4, 299-306 (impreuna cu S.Ianus, K.Matsumoto). MR92a:53026.
  41. A class of antiinvariant submanifolds of a generalized Hopf manifold, Bull. Math. de la Soc. Sci. Math. de Roumanie, 34, (1990), 115-123, (impreuna cu S.Ianus), MR 91m:53039.
  42. Minimal real hypersurfaces of a generalized Hopf manifold, Analele St. Univ. "Al. I. Cuza" Iasi, 2, (1990), 137-142, MR 92i:53019.
  43. Complex hypersurfaces with planar geodesics in generalized Hopf manifolds, Mathematika Balkanica 3 (1989) 92-96, MR 90g:53072.
  44. Complex hypersurfaces of a generalized Hopf manifold, Publications de l'Inst. Math. (Beograd), 42, (1987), 123-129, (impreuna cu S.Ianus, K.Matsumoto) MR 89f:53079.
  45. On certain vector fields in locally conformal Kaehler manifolds, Bull. Yamagata Univ. Natur. Sci. 11 (1987), 335--344 (impreuna cu S.Ianus, K.Matsumoto). MR88b:53077.
  46. CR-submanifolds of a locally conformal Kaehler manifold, Demonstratio Mathematica, 19, (1986), 863-869, MR 90g:53072.
  47. Subvarietati CR-generice in S-varietati, Stud. Cerc. Mat. 36 (1984), 435-443. MR86j:53084.



Actualizat: 29 iulie 2007


Lect.dr. Gherghe Catalin

  


Data si locul nasterii: in 1967, la Focsani.

Educatia: A absolvit Facultatea de Matematica a Universitatii Bucuresti in 1991.
Teza de doctorat: A obtinut titlul de doctor in Matematica in 1999 cu lucrarea "Aplicatii armonice in varietati Riemanniene si Hermitiene".
Pozitii academice: Preparator din 1991, asistent din 1994, lector din 2000.
Cursuri predate: A tinut seminarii de Geometrie, Geometrie Diferentiala, Geometrie Riemanniana, Aplicatii armonice precum si cursul de geometrie la anul I.
Domenii de interes stiintific: Lucreaza in domeniul Geometriei Riemanniene.

A fost invitat pentru conferinte la Universitatea La Sapienza din Roma (1998, 2000) si la Universitatea din Bari (1999).




  FISA PREZENTARE


LISTA DE LUCRARI

Candidat lect.dr Catalin-Liviu Gherghe

Teza de doctorat: Aplicatii armonice pe varietati Riemanniene si Hermitiene, Universitatea din Bucuresti, Facultatea de Matematica, 1999, (conducator prof.dr.S.Ianus).

Carti

  1. Criptografie. Coduri. Algoritmi, Ed. Universitatii din Bucuresti, 2005 (in colaborare cu Dorin Popescu).
  2. Probleme de geometrie proiectiva, Ed. Universitatii din Bucuresti, 2000.

Articole publicate in reviste de specialitate de circulatie internationala recunoscute:

  1. Energy minimizer maps on C-manifolds, Differential Geom. Appl. 21 (2004), no.1, 55-63 (in colaborare cu K.Kenmotsu), recenzata in MR2067458 (2005b:53103) si in Zbl 1067.53051, (revista cotata ISI).
  2. Harmonic maps and cosymplectic manifolds, J. Aust. Math. Soc. 76 (2004), no.1, 75-92 (in colaborare cu E.Boeckx), recenzata in MR2029311 (2005b:53102) si in Zbl 1063.53069, (revista cotata ISI).
  3. Harmonic maps on C-manifolds, Recent advances in geometry and topology, 181-185, Cluj Univ. Press, Cluj-Napoca, 2004, recenzata in MR2113580 (2005j:53067).
  4. CR-manifolds, harmonic maps and stability, J. Geom. 71 (2001), no.1-2, 42-53 (in colaborare cu S.Ianus si A.M.Pastore), recenzata in MR1848311 (2002g:53112) si in Zbl 1038.58014.
  5. Harmonic maps on Kenmotsu manifolds, Rev. Roumaine Math. Pures Appl. 45 (2000), no.3, 447-453 (2001), recenzata in MR1840166 (2002d:53087) si in Zbl 0993.58013.
  6. Harmonic maps, harmonic morphisms and stability. Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 43(91) (2000), no.3-4, 247-254, (in colaborare cu S.Ianus si A.M.Pastore), recenzata in MR1837479 (2002c:53109).
  7. Harmonicity on some almost contact metric manifolds, Rend. Circ. Mat. Palermo (2) 49 (2000), no.3, 415-424, recenzata in MR1809084 (2001k:53154).
  8. Harmonicity on nearly trans-Sasaki manifolds, Demonstratio Math. 33 (2000), no.1, 151-157, recenzata in MR1759875 (2001g:53141).
  9. Harmonic morphisms on some almost contact metric manifolds, Tensor (N.S.) 61 (1999), no.3, 276-281, recenzata in MR1910844 (2003d:53110) si in Zbl 1061.53042.
  10. On some submanifolds with harmonic mean curvature vector field, Math. Rep. (Bucur.) 1(51) (1999), no.1, 47-51, recenzata in MR1826612 (2002f:53105) si in Zbl 1033.53048.
  11. Harmonic maps on trans-Sasaki manifolds, Rend. Circ. Mat. Palermo (2) 48 (1999), no.3, 477-486, recenzata in MR1731448 (2001e:53067) si in Zbl 0961.53036.
  12. Pluriharmonic maps on tangent bundles of a Riemannian or Hermitian manifold, An. Univ. Bucuresti Mat. 46 (1997), 3-8, (in colaborare cu I.Calinov), recenzata in MR1618498 (99f:58047) si in Zbl 0899.58013.
  13. Quasi-connexion de Golab-Lyra, Demonstratio Math. 30 (1997), no.1, 1-6, recenzata in MR1446592 (98g:53026).
  14. Champs presque F-speciaux, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 38(86) (1994), no.1-2, 37-44, (in colaborare cu L.Nicolescu), recenzata in MR1408964 (97e:53065) si in Zbl 0879.53019.
Toate lucrarile de la punctul precedent sunt recenzate si indexate in baza de date a Mathematical Reviews si/sau Zentralblatt fur Mathematik.

Studii publicate in volumele unor manifestari stiintifice internationale:

  1. Harmonic maps on C-manifolds, Recent advances in geometry and topology, 181-185, Cluj Univ. Press, Cluj-Napoca, 2004, recenzata in MR2113580 (2005j:53067), ISBN 9736102777.
  2. Quasi-Sasakian manifolds and harmonic maps, Proceedings of the Conference "Submanifolds on Yuzawa" (Japonia), 28-32 (2001).

Proiecte de cercetare pe baza de contract/grant:

  1. Structuri hermitiene si de contact si aplicatii intre varietati inzestrate cu aceste structuri. Geometria Submersiilor Riemanniene si semi-Riemanniene, CNCSIS Nr. 41022/2003, 33379/2004, 34699/2005, (membru in echipa).
  2. Criptografie. Algoritmi. Utilizarea de programe informatice in algebra si geometrie, grant CNCSIS 2006, contract aprobat si aflat in faza de contractare, (membru in echipa), director de proiect prof.dr.Dorin Popescu.
  3. On a Gauge-invariant functional, CERES 4-147/12.11.2004, (membru in echipa).
  4. Armonicitatea si stabilitatea unor aplicatii definite pe varietati de contact, CNCSIS Nr. 6154/2000-2001, (Director de contract).
  5. Submersii si foliatii Riemann, CNCSIS Nr. 5229/1999, Ad. 6058/2000, (membru in echipa).
  6. Aplicatii armonice pe varietati reale si complexe, ANSTI Nr. 4116/1998, (membru in echipa).



Actualizat: 27 aprilie 2006



2002 - 2015 -- Facultatea de Matematica si Informatica, Universitatea din Bucuresti
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