Dr. Liviu Ornea

University of Bucharest,
Faculty of Mathematics,
14 Academiei str.,
70109 Bucharest, Romania

lornea@geometry.math.unibuc.ro
lornea@imar.ro
http://www.imar.ro/~lornea

Curriculum Vitae

Personal data
Born in Bucharest, Romania, July, 14-th, 1960. Married since 1984. Two children: Irina, born in 1987; Matei, born in 1989.
Education
1980-1984 University of Bucharest, Faculty of Mathematics.
1984-1985 Specialization in Algebra-Geometry (Master degree equivalent) at the same University.
Doctorate
1992 Doctor in Mathematics at the University of Bucharest with the thesis Geometrical structures on complex manifolds. Locally conformal Kähler structures.
Summer schools
"Structure of compact Lie groups", Constanta, June 1989, organized by the Mathematical Institute of the Romanian Academy.
"Convex geometry", Bucharest, July 1997, organized by the Dortmund University (Tempus program).
Present position
Senior Lecturer at the Faculty of Mathematics, University of Bucharest (since 1995).
Teaching activity
Courses and tutorials of Linear algebra and geometry (I-st year), Differential geometry of curves and surfaces (II-nd year), Manifolds and Riemannian geometry (III-rd year), Variational calculus (IV-th year), Complements of Riemannian Geometry (IV-th year), Foundations of geometry (IV-th year).
Previous positions
  • 1985-1987 Mathematics teacher in High school nr. 6, Tîrgoviste.
  • 1987-1990 Mathematician, Institute for Computer Science, Bucharest.
  • 1990-1991 Assistant Professor at the Politechnical University, Bucharest.
  • 1991-1995 Assistant Professor at the Faculty of Mathematics, University of Bucharest.
Fields of interest
Differential geometry of Hermitian manifolds, quaternionic structures, contact (Sasakian) structures.
Research in foreign universities and institutes
  • 1990, 1 month in Paris 7. (Financed by Fondation pour une entraide intelectuelle européenne).
  • 1993, 3 months at the Université Libre de Bruxelles. (Financed by E.C.)
  • 1994, 6 months at "La Sapienza" University in Rome. (Financed by Consiglio Nazionale delle Ricerche, Italy by a fellowship for foreign mathematicians).
  • 1996, 10 days at Debrecen University, Hungary (Visiting professor).
  • 1997, "La Sapienza" University in Rome (C.N.R. visiting professor).
  • 1997, 2 months at Dortmund University (Tempus program).
  • 1997-1998, 5 months at Paris 6 University (Research fellowship).
  • 1998, 1 month at "La Sapienza" University in Rome.
  • 1998, 2 months in "Max-Planck Institut für Mathematik" Bonn.
  • 1999, 2 weeks at Kumamoto University, Japan.
  • 1999, 2 months at the "International Centre for Theoretical Physics Abdus Salam", Trieste. (Visiting professor).
  • 1999, 2 weeks at the "Erwin Schrödinger International Institute for Mathematical Physics", Vienna.
  • 2000, 1 month at "La Sapienza" University in Rome (C.N.R. visiting professor).
  • 2000 and 2001, 1 month at Tokyo Metropolitan University.
Lectures given in foreign universities and institutes
Rome (1991, 1994, 1998, 2000), Bruxelles (1993, 1997), Leuven (1993), Lecce (1994), Potenza (1994, 1997, 1998), Palermo (1994), Debrecen (1996), Cagliari(1997, 1999, 2000), Mulhouse, Nice, Angers, Paris 6, Bonn (1998), Ochanomizu (1999), ICTP Trieste (1999), ESI Vienna (1999), Tokyo (1999, 2000).
International conferences
  • Second international meeting on quaternionic structures in mathematics and physics (Rome, September 1999). <\LI>
  • Perspectives in calibrations and gauge theories (Martina Franca, May 2000). <\LI>
  • Integrable systems in differential geometry (Tokyo, July 2000). <\LI> <\UL>
    Varia
    Prize "Gheorghe Titeica" of the Romanian Academy in 1998. Member of the Romanian Society of Mathematicians, American Mathematical Society. Reviewer for Mathematical Reviews and Zentralblatt für Mathematik.
    Spoken languages
    Romanian, French, English, Italian.
     

     

    Selected publications

    1. CR-submanifolds of a locally conformal Kähler manifold, Demonstratio Mat., 19, (1986), 863-869, MR 90g:53072
    2. Complex hypersurfaces of a generalized Hopf manifold, Publications de l'Inst. Math. (Béograd), 42, (1987), 123-129, (in collaboration with S. Ianus, K. Matsumoto) MR 89f:53079
    3. Complex hypersurfaces with planar geodesics in generalized Hopf manifolds, Mathematika Balkanica 3 (1989) 92-96, MR 90g:53072
    4. Minimal real hypersurfaces of a generalized Hopf manifold, Analele St. Univ. "Al. I. Cuza" Iasi, 2, (1990), 137-142, MR 92i:53019
    5. A class of antiinvariant submanifolds of a generalized Hopf manifold, Bull. Math. de la Soc. Sci. Math. de Roumanie, 34, (1990), 115-123, (in collaboration with S. Ianus), MR 91m:53039
    6. A theorem on nonnegatively curved locally conformal Kähler manifolds, Rendiconti di Matematica (Roma), serie VII, 12, (1992), 257-262, MR 93h:53071
    7. Conformal geometry of Riemannian submanifolds. Gauss, Codazzi and Ricci equations, Rendiconti di Matematica (Roma), 15, (1995), 233-249, (in collaboration with G. Romani). Zbl. 833:53015.
    8. Immersions sphériques dans une variété de Hopf généralisée, C.R. Acad. Sci. Paris, 316, Série I, (1993), 63-66, (in collaboration with S. Ianus, K. Matsumoto), MR 93m:53067
    9. Submanifolds with parallel second fundamental form in a generalized Hopf manifold, Ricerche di Matem. (Napoli), XLII, (1993), 3-9, MR 95d:35066
    10. The fundamental equations of conformal submersions, Beiträge zur Algebra und Geometrie / Contrib. to Alg. and Geom., 34, (1993), 233-243, (in collaboration with G. Romani), MR 95a:53055
    11. Locally conformal Kähler manifolds. A survey, Quaderno n. 12, Dip. di Mat., Univ. di Roma "La Sapienza", (1994)
    12. Holomorphic and harmonic maps on locally conformal Kähler manifolds, Bolletino U.M.I., (7)9-A(1995), 569-579, (in collaboration with S. Ianus, V. Vuletescu), MR 96i:58037
    13. Locally conformal Kähler structures in quaternionic geometry,
      Transactions Amer. Math. Soc., 349 (1997), 641-655, (in collaboration with P. Piccinni). MR 97e:53091.
    14. Weyl structures on quaternionic manifolds, Proceedings of the Meeting on Quaternionic Structures in Mathematics and Physics, Trieste 1994. SISSA, Trieste, (1996), 261-267, (in collaboration with P. Piccinni). MR 99k:53098.
    15. Induced Hopf bundles and Einstein metrics, in New developments in differential geometry, Budapest (1996), 295-306, Kluwer (in collaboration with P. Piccinni). MR 99k:53099.
    16. Compact hyperhermitian-Weyl and quaternion Hermitian-Weyl
      manifolds      , Annals of Global Analysis and Geometry, 16 (1998), 383-398. (in collaboration with P. Piccinni). MR 99k:53097
    17. Locally conformal Kähler metrics on Hopf surfaces, Annales de l'Inst. Fourier, 48 (1998), 1107-1127 (in collaboration with P. Gauduchon).
    18. Intersections of Riemannian submanifolds. Variations on a theme by T. J. Frankel, Rendiconti di Matematica (Roma), 19 (1999), 107-121 (in collaboration with T. Bingh and L. Tamassy).
    19. On some moment maps and induced Hopf bundles in the quaternionic projective space, International Journal of Math. (in collaboration with Paolo Piccinni).
    20. Reduction of Sasakian manifolds, ESI preprint 756/1999 (in collaboration with G. Grantcharov).
    21. Locally conformal Kähler geometry, Progress in Mathematics 155, Birkhäuser, 1998 (in collaboration with Sorin Dragomir).

     

    Selected citations

    1. E. Bonan, Sur certaines variétés hermitiennes quaternioniques, C.R. Acad. Sci. Paris Sér. I Math. 320 (1995), no. 8, 981-984. Cites title [13].
    2. S. Dragomir, R. Grimaldi, A classification of totally umbilical CR submanifods of a generalized Hopf manifold, Bolletino U.M.I., (7)9- A (1995), 557-568. Cites title [8].
    3. C. P. Boyer, K. Galicki, B. Mann, Quaternionic geometry and 3- Sasakian manifolds, Proc. of the Meeting on "Quaternionic structures in Geometry and Physics" Trieste, 5-9 Sept. 1994 (SISSA, Trieste, 1996), 7-25. Cites title [13].
    4. K. Galicki, S. Salamon, Betti numbers of 3-Sasakian manifolds, Geom. Dedicata, 63, (1996), 45-68. Cites title [13].
    5. N. M. Ostianu, Submanifolds in Differential Manifolds Endowed with Differential-Geometrical Structures. CR-Submanifolds in Almost Complex Structure Manifolds, J. Math. Sciences, 78 (3), 287-310, (1996). Cites title [1].
    6. P. Tondeur, Geometry of foliations, Birkhäuser, 1997. Cites title [10].
    7. Y. Kamishima, Locally conformal Kähler manifolds with a family of constant curvature tensors, Kumamoto J. Math., 11, 19-41, (1998). Cites titles [13], [21].
    8. V. Rovenskii, Foliations on Riemannian manifolds and submanifolds, Birkhäuser (1998). Cites title [10].
    9. C. P. Boyer, K. Galicki, B. Mann, Hypercomplex structures from 3-Sasakian structures, J. Reine Angewandte Math., 501 (1998), 115-141. Cites titles [13], [21].
    10. F. A. Belgun, Géométrie conforme et géométrie CR en dimension 3 et 4, Ph.D. thesis, Ecole Polytechnique 1999. Cites titles [13], [17], [21].
    11. C. P. Boyer, K. Galicki, 3-Sasakian manifolds, in "Essays on Einstein manifolds", LeBrun and Wang eds., Int. Press 2000. Cites title [13].
    12. D. Calderbank, H. Pedersen, Einstein-Weyl structures, in "Essays on Einstein manifolds", LeBrun and Wang eds., Int. Press 2000. Cites titles [13], [16].