On a fully nonlinear version of the Min-Oo Conjecture

Orateur: ESPINAR José
Localisation: IMPA, Brésil
Type: Séminaire de géométrie
Site: Hors LAMA , IMJ P7
Salle: Salle 2015
Date de début: 11/09/2017 - 13:30
Date de fin: 11/09/2017 - 14:30

In this talk, we prove that the Min-Oo's conjecture holds if we consider a compact connected locally conformally flat manifold with boundary such that the eigenvalues of the Schouten tensor satisfy a fully nonlinear elliptic inequality, and the mean curvature of the boundary is controled bellow by the mean curvature of a geodesic ball in the standard unit-sphere.

This is a joint work with E. Barbosa and M.P. Cavalcante.