@article{71109624e271496fba60010d331c7905,
title = "Quasi-Local Mass Integrals and the Total Mass",
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.",
keywords = "Quasi-local mass, Ricci tensor, Scalar curvature, Total mass",
author = "Pengzi Miao and Tam, {Luen Fai} and Naqing Xie",
note = "Funding Information: Pengzi Miao: Research partially supported by Simons Foundation Collaboration Grant for Mathematicians #281105. Luen-Fai Tam: Research partially supported by Hong Kong RGC General Research Fund #CUHK 14305114. Naqing Xie: Research partially supported by the National Science Foundation of China #11421061. Publisher Copyright: {\textcopyright} 2016, Mathematica Josephina, Inc.",
year = "2017",
month = apr,
day = "1",
doi = "10.1007/s12220-016-9721-z",
language = "English (US)",
volume = "27",
pages = "1323--1354",
journal = "Journal of Geometric Analysis",
issn = "1050-6926",
publisher = "Springer New York",
number = "2",
}