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On a localized Penrose inequality

编辑:xyx 时间:2018年05月31日 访问次数:710

浙江大学数学科学学院九十周年院庆系列活动之二

题目: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)