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Large-sphere and small-sphere limits of the Brown-York mass
Fan, Xu-Qian ; Shi, Yuguang ; Tam, Luen-Fai
2009
关键词GENERAL-RELATIVITY CURVATURE ENERGY THEOREM PROOF
英文摘要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 related to coordinate spheres are also obtained, including a discussion on the isoperimetric mass introduced by Huisken [14]. We will also study expansions of the Brown-York mass and the Hawking mass of geodesic spheres with center at a fixed point p of a 3-manifold. Some geometric consequences will be derived.; Mathematics; SCI(E); 14; ARTICLE; 1; 37-72; 17
语种英语
出处SCI
出版者communications in analysis and geometry
内容类型其他
源URL[http://hdl.handle.net/20.500.11897/396771]  
专题数学科学学院
推荐引用方式
GB/T 7714
Fan, Xu-Qian,Shi, Yuguang,Tam, Luen-Fai. Large-sphere and small-sphere limits of the Brown-York mass. 2009-01-01.
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