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 language | English (US) |
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Pages (from-to) | 1323-1354 |
Number of pages | 32 |
Journal | Journal of Geometric Analysis |
Volume | 27 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1 2017 |
Keywords
- Quasi-local mass
- Ricci tensor
- Scalar curvature
- Total mass
ASJC Scopus subject areas
- Geometry and Topology