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) |
|---|---|
| Pages (from-to) | 1-32 |
| Number of pages | 32 |
| Journal | Journal of Geometric Analysis |
| DOIs | |
| State | Accepted/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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Cite this
Miao, P., Tam, L. F., & Xie, N. (Accepted/In press). Quasi-Local Mass Integrals and the Total Mass. Journal of Geometric Analysis, 1-32. https://doi.org/10.1007/s12220-016-9721-z