Seminars & Colloquia Calendar
Rigidity of Riemannian Penrose inequality with corners and its implications
Siyuan Lu, McMaster University
Date & time: Wednesday, 07 April 2021 at 9:30AM - 10:30AM
Abstract: Motivated by the rigidity case in the localized Riemannian Penrose inequality, we show that suitable singular metrics attaining the optimal value in the Riemannian Penrose inequality is necessarily smooth in properly specified coordinates. If applied to hypersurfaces enclosing the horizon in a spatial Schwarzschild manifold, the result gives the rigidity of isometric hypersurfaces with the same mean curvature. This is a joint work with Pengzi Miao.
Meeting ID: 924 8937 5526 Passcode: 565238