Quasi-local mass via isometric embeddings: A review from a geometric perspective

Pengzi Miao

doi:10.1088/0264-9381/32/23/233001

Quasi-local mass via isometric embeddings: A review from a geometric perspective

Pengzi Miao

Mathematics

Research output: Contribution to journal › Article

2 Scopus citations

Abstract

In this paper, we review geometric aspects of quasi-local energies proposed by Brown-York, Liu-Yau, and Wang-Yau. These quasi-local energy functions, having the important positivity property, share a common feature that they are defined via the canonical Hamiltonian approach, and therefore an isometric embedding of the two-surface into a background space is used as a reference.

Original language	English (US)
Article number	233001
Journal	Classical and Quantum Gravity
Volume	32
Issue number	23
DOIs	https://doi.org/10.1088/0264-9381/32/23/233001
State	Published - Nov 18 2015

Keywords

isometric embedding
quasi-local mass
scalar curvature

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1088/0264-9381/32/23/233001

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Miao, P. (2015). Quasi-local mass via isometric embeddings: A review from a geometric perspective. Classical and Quantum Gravity, 32(23), [233001]. https://doi.org/10.1088/0264-9381/32/23/233001

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