3 résultats : hypersurfaces

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3 résultats
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Canal-U
Description : A smooth projective variety over the complex numbers is said to be (Brody) hyperbolic if it doesn’t contain any entire curve. Kobayashi conjectured in the 70’s that general hypersurfaces of sufficiently large degree in PN are hyperbolic. This conjecture was only recently proved by Siu. The purpose ...
Mots clés : Complex analytic and differential geometry 2017, Grenoble, hyperbolicity, general hypersurfaces
Date : 06-06-2017
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Canal-U
Description : We study sequences of closed minimal hypersurfaces (in closed Riemannian manifolds) that have uniformly bounded index and area. In particular, we develop a bubbling result which yields a bound on the total curvature along the sequence. As a consequence, we obtain qualitative control on the topology ...
Mots clés : Grenoble, CNRS, institut fourier, summer school, geometric analysis, topology, UGA, minimal hypersurfaces, bounded aera
Date : 27-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0
Canal-U
Description : In this talk, I will present a joint work with H. Rosenberg where we give a characterization of the minimal hypersurface of least area in any Riemannian manifold. As a consequence, we give a lower bound for the area of a minimal surface in a hyperbolic 3-manifold.
Mots clés : Grenoble, CNRS, institut fourier, summer school, geometric analysis, metric geometry, topology, hypersurfaces, UGA
Date : 27-06-2016
Droits : Droits réservés à l'éditeur et aux auteurs. CC BY-NC-ND 4.0