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

页码：87 / 118

页数：32

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