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math.DG2009★ 1 cited
The Brown-York mass of revolution surface in asymptotically Schwarzschild manifold
Xu-Qian Fan, Kwok-Kun Kwong
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.
math.DG2007★ 1 cited
Large-sphere and small-sphere limits of the Brown-York mass
Xu-Qian Fan, Yuguang Shi, Luen-Fai Tam
In this paper, we will study the limiting behavior of the Brown-York mass of the coordinate spheres in an asymptotically flat manifold. Limiting behaviors of volumes of regions rel…