Quasi-Local Mass Integrals and the Total Mass

Pengzi Miao, Luen Fai Tam, Naqing Xie

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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)1323-1354
Number of pages32
JournalJournal of Geometric Analysis
Issue number2
StatePublished - Apr 1 2017


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

ASJC Scopus subject areas

  • Geometry and Topology


Dive into the research topics of 'Quasi-Local Mass Integrals and the Total Mass'. Together they form a unique fingerprint.

Cite this