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A localized Penrose inequality and quasi-local mass

Qizhi Wang

School of Mathematics and Information Sciences, Guangzhou University, Waihuanxi Road 230, Panyu District, Guangzhou, P. R. China

E-mail Address: qzwang@gzhu.edu.cn

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https://doi.org/10.1142/S0129167X19400081Cited by:1 (Source: Crossref)

This article is part of the issue:

Special Issue on Geometric Analysis and General Relativity

Abstract

In this paper, we use spinorial method to define a new quasi-local mass with reference to a Schwarzchild manifold. In the proof of the main theorem, spinors are defined on manifold with two boundary components. Through the Reilly formula, we get the new quasi-local mass is nonnegative. Combined with Riemannian–Penrose inequality, we derive a localized Penrose inequality.

Keywords:

AMSC: 83C57, 53C27

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