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Geometry


Organizers: S. Moroianu, L. Ornea

Time and place:Tuesdays 10:00-11:30, room 306-307 (Sala "Constantin Bănică"), IMAR

Current talks:

  • January 15, 2019. Cezar Joița , IMAR
    Despre imaginea unui germene de aplicație analitică

  • January 22, 2019. Sergiu Moroianu, IMAR
    Invarianți Chern-Simons și tensorul Cotton pe varietăți Riemanniene de dimensiune 3

  • February 26, 2019. Călin Iuliu Lăzăroiu, Pohag și IFIN
    Non-degeneracy of cohomological traces for general Landau-Ginzburg models

  • March 19, 2019. Ştefan Berceanu, IFIN-HH, Dept. of Theoretical Physics
    About invariant metrics on homogenous spaces attached to the Jacobi group

  • April 2, 2019. Paul-Andi Nagy, University of Murcia / Universitatea București
    Homothetic foliations on Kähler manifolds I

  • April 9, 2019. Paul-Andi Nagy, University of Murcia / Universitatea București
    Homothetic foliations on Kähler manifolds II

  • May 21, 2019. Costin Vîlcu, IMAR
    Puncte critice pentru funcții distanță I

  • June 4, 2019. Costin Vîlcu, IMAR
    Puncte critice pentru funcții distanță II

  • June 25, 2019. Călin Iuliu Lăzăroiu, IFIN-HH & IBS-CGP
    Hesse manifolds and Hesse functions
    Abstract: I study Hesse manifolds, defined as those Riemannian manifolds which admit non-trivial functions (called Hesse functions) whose Hessian tenspr is proportional to the function through the Riemannian metric. I show that a Riemannian manifold is locally maximally Hesse (i.e. admits a maximally dimensional space of local solutions to the Hesse equation) iff it is real analytic, in which case the manifold is hyperbolic. Moreover, I classify those complete globally Hesse manifolds which are locally maximally Hesse, showing that they coincide with the elementary hyperbolic space forms. I also propose a few problems for further research. Hesse manifolds and Hesse functions appear in the study of Noether symmetries of certain cosmological models containing scalar fields.

Click on the title for the abstract (if available)

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