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The Brown–York Mass of Revolution Surfaces in Asymptotically Schwarzschild Manifolds

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Abstract

In this paper, we will show that the limit of the Brown–York mass of a family of convex revolution surfaces in an asymptotically Schwarzschild manifold is the ADM mass.

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Correspondence to Xu-Qian Fan.

Additional information

Communicated by John M. Lee.

Research partially supported by the National Natural Science Foundation of China (10901072) and GDNSF (9451503101004122).

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Fan, XQ., Kwong, KK. The Brown–York Mass of Revolution Surfaces in Asymptotically Schwarzschild Manifolds. J Geom Anal 21, 527–542 (2011). https://doi.org/10.1007/s12220-010-9157-9

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  • DOI: https://doi.org/10.1007/s12220-010-9157-9

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