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.
- isometric embedding
- quasi-local mass
- scalar curvature
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)