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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