Affiliation:
1. School of Mathematics and Information Sciences, Guangzhou University, Waihuanxi Road 230, Panyu District, Guangzhou, P. R. China
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.
Publisher
World Scientific Pub Co Pte Lt
Cited by
1 articles.
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