10.11.2016, 16:15  –  University of Potsdam, Campus Golm, Building 9, Room 2.22
Seminar "Topics in Geometric Analysis"

Emanuele Spadaro and José Espinar

16:15Emanuele Spadaro (Leipzig)   Optimal regularity of three dimensional mass minimizing cones

In this talk I will present the following regularity results in minimal surface theory: the singular points of a mass minimizing three dimensional cone in the Euclidean space are contained in at most finitely many half lines (joint with De Lellis and Spolaor).  

 
17:45José Espinar (Rio de Janeiro)On a fully nonlinear version of the Min-Oo Conjecture

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.

 
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