ENTIRE SCALAR CURVATURE FLOW AND HYPER SURFACES OF CONSTANT SCALAR CURVATURE IN MINKOWSKI SPACE

被引：0
|
作者：
Bayard, Pierre [1 ]
机构：
[1] UMSNH, Inst Fis & Matemat, Ciudad Univ, Morelia 58040, Michoacan, Mexico
来源：
METHODS AND APPLICATIONS OF ANALYSIS | 2009年 / 16卷 / 01期
关键词：
Entire graphs; prescribed scalar curvature; scalar curvature flow; Minkowski space;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove existence in the Minkowski space of entire spacelike hypersurfaces with constant negative scalar curvature and given set of lightlike directions at infinity; we also construct the entire scalar curvature flow with prescribed set of lightlike directions at infinity, and prove that the flow converges to a spacelike hypersurface with constant scalar curvature. The proofs rely on barriers construction and a priori estimates.
引用
收藏
页码：87 / 118
页数：32
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