Quasi-Local Mass Integrals and the Total Mass

Pengzi Miao; Luen Fai Tam; Naqing Xie

doi:10.1007/s12220-016-9721-z

Quasi-Local Mass Integrals and the Total Mass

Pengzi Miao, Luen Fai Tam, Naqing Xie

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

On asymptotically flat and asymptotically hyperbolic manifolds, by evaluating the total mass via the Ricci tensor, we show that the limits of certain Brown–York type and Hawking type quasi-local mass integrals equal the total mass of the manifold in all dimensions.

Original language	English (US)
Pages (from-to)	1323-1354
Number of pages	32
Journal	Journal of Geometric Analysis
Volume	27
Issue number	2
DOIs	https://doi.org/10.1007/s12220-016-9721-z
State	Published - Apr 1 2017

Keywords

Quasi-local mass
Ricci tensor
Scalar curvature
Total mass

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s12220-016-9721-z

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title = "Quasi-Local Mass Integrals and the Total Mass",

abstract = "On asymptotically flat and asymptotically hyperbolic manifolds, by evaluating the total mass via the Ricci tensor, we show that the limits of certain Brown–York type and Hawking type quasi-local mass integrals equal the total mass of the manifold in all dimensions.",

keywords = "Quasi-local mass, Ricci tensor, Scalar curvature, Total mass",

author = "Pengzi Miao and Tam, {Luen Fai} and Naqing Xie",

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AU - Tam, Luen Fai

AU - Xie, Naqing

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