Static flow on complete noncompact manifolds I: short-time existence and asymptotic expansions at conformal infinity

被引：0

作者：

Xue Hu

YuGuang Shi

机构：

[1] Peking University,Key Laboratory of Pure and Applied Mathematics, School of Mathematical Sciences

[2] Beijing International Center for Mathematical Research,undefined

来源：

Science China Mathematics | 2012年 / 55卷

关键词：

static flow; asymptotical static; asymptotical hyperbolic; 53C25; 58J05;

D O I：

暂无

中图分类号：

学科分类号：

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 (Mn, g, V), we also compute the asymptotic expansions of g and V at conformal infinity.

引用

页码：1883 / 1900

页数：17

共 28 条

[1] Static flow on complete noncompact manifolds I:short-time existence and asymptotic expansions at conformal infinity
HU Xue1 & SHI YuGuang1
2Beijing International Center for Mathematical Research
ScienceChina(Mathematics), 2012, 55 (09) : 1883 - 1900
[2] Static flow on complete noncompact manifolds I: short-time existence and asymptotic expansions at conformal infinity
Hu Xue
Shi YuGuang
SCIENCE CHINA-MATHEMATICS, 2012, 55 (09) : 1883 - 1900
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