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 |
Fingerprint
Keywords
- Quasi-local mass
- Ricci tensor
- Scalar curvature
- Total mass
ASJC Scopus subject areas
- Geometry and Topology
Cite this
Quasi-Local Mass Integrals and the Total Mass. / Miao, Pengzi; Tam, Luen Fai; Xie, Naqing.
In: Journal of Geometric Analysis, 27.06.2016, p. 1-32.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Quasi-Local Mass Integrals and the Total Mass
AU - Miao, Pengzi
AU - Tam, Luen Fai
AU - Xie, Naqing
PY - 2016/6/27
Y1 - 2016/6/27
N2 - 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.
AB - 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.
KW - Quasi-local mass
KW - Ricci tensor
KW - Scalar curvature
KW - Total mass
UR - http://www.scopus.com/inward/record.url?scp=84976332613&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84976332613&partnerID=8YFLogxK
U2 - 10.1007/s12220-016-9721-z
DO - 10.1007/s12220-016-9721-z
M3 - Article
AN - SCOPUS:84976332613
SP - 1
EP - 32
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
SN - 1050-6926
ER -