Static flow on complete noncompact manifolds I: short-time existence and asymptotic expansions at conformal infinity | |
Hu Xue ; Shi YuGuang | |
2012 | |
关键词 | static flow asymptotical static asymptotical hyperbolic NEGATIVE-COSMOLOGICAL-CONSTANT RIEMANNIAN PENROSE INEQUALITY RICCI FLOW MEAN-CURVATURE UNIQUENESS CLASSIFICATION METRICS |
英文摘要 | We study short-time existence of static flow on complete noncompact asymptotically static manifolds from the point of view that the stationary points of the evolution equations can be interpreted as static solutions of the Einstein vacuum equations with negative cosmological constant. For a static vacuum (M (n) , g, V), we also compute the asymptotic expansions of g and V at conformal infinity.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 9; 1883-1900; 55 |
语种 | 英语 |
出处 | SCI |
出版者 | science china mathematics |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157526] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Hu Xue,Shi YuGuang. Static flow on complete noncompact manifolds I: short-time existence and asymptotic expansions at conformal infinity. 2012-01-01. |
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