On the positivity of a quasi-local mass in general dimensions

Kwok Kun Kwong

doi:10.4310/CAG.2013.v21.n4.a3

On the positivity of a quasi-local mass in general dimensions

Kwok Kun Kwong

Department of Mathematics

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

4 Citations (Scopus)

Abstract

In this paper, we obtain a positivity result of a quasi-local mass integral as proposed by Shi and Tam in general dimensions. The main argument is based on the monotonicity of a mass integral in a foliation of quasi-spherical metrics and a positive mass type theorem which was proved by Wang and Yau in the three-dimensional case, and is shown here in higher dimensions using spinor methods.

Original language	English
Pages (from-to)	847-871
Number of pages	25
Journal	Communications in Analysis and Geometry
Volume	21
Issue number	4
DOIs	https://doi.org/10.4310/CAG.2013.v21.n4.a3
Publication status	Published - 2013

All Science Journal Classification (ASJC) codes

Analysis
Statistics and Probability
Geometry and Topology
Statistics, Probability and Uncertainty

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10.4310/CAG.2013.v21.n4.a3

Cite this

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On the positivity of a quasi-local mass in general dimensions

Abstract

All Science Journal Classification (ASJC) codes

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