Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature

被引：0

作者：

Chrusciel, Piotr T. ^{[1
,2
,3
]}

Delay, Erwann ^{[4
]}

机构：

[1] LMPT, Tours, France

[2] Math Inst, Oxford OX1 3LB, England

[3] Univ Oxford Hertford Coll, Oxford OX1 3BW, England

[4] Fac Sci, Lab Anal Non Lineaire & Geometrie, F-84000 Avignon, France

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2009年 / 17卷 / 02期

关键词：

EINSTEIN CONSTRAINT EQUATIONS; RIEMANNIAN-MANIFOLDS; MASS; EXISTENCE; VACUUM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that asymptotically hyperbolic initial data satisfying smallness conditions in dimensions n >= 3, or fast decay conditions in n >= 5, or a genericity condition in n >= 9, can be deformed, by a deformation that is supported arbitrarily far in the asymptotic region, to ones that are exactly Kottler ("Schwarzschild-adS") in the asymptotic region.

引用

页码：343 / 381

页数：39

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