Quasi-Local Mass Integrals and the Total Mass

Pengzi Miao, Luen Fai Tam, Naqing Xie

Research output: Contribution to journalArticle

9 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 languageEnglish (US)
Pages (from-to)1-32
Number of pages32
JournalJournal of Geometric Analysis
DOIs
StateAccepted/In press - Jun 27 2016

Keywords

  • Quasi-local mass
  • Ricci tensor
  • Scalar curvature
  • Total mass

ASJC Scopus subject areas

  • Geometry and Topology

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