On a localized Penrose inequality

报告人：Siyuan Lu 博士（美国Rutgers大学助理教授）

时间：2018年6月8日下午4:00-5:00

地点：工商管理楼4楼报告厅

摘要：

We consider the boundary behavior of a compact manifold with nonnegative scalar curvature. The boundary consists of two parts: Sigma_H and Sigma_O, where Sigma_H denotes outer minimizing minimal hypersurface. Under suitable assumption on Sigma_O, we establish a localized Penrose inequality, which can be viewed as a quasi-local version of the Riemannian Penrose inequality. Moreover, in dimension 3, we prove that the equality holds iff it's a domain in Schwarzschild manifold. This is based on joint works with Pengzi Miao.

联系人：盛为民教授（shengweimin@zju.edu.cn）