Compact conformally stationary Lorentzian manifolds with no causal conjugate points

被引：0
|
作者：
Francisco J. Palomo
Alfonso Romero
机构：
[1] Universidad de Málaga,Departamento de Matemática Aplicada
[2] Universidad de Granada,Departamento de Geometría y Topología
来源：
Annals of Global Analysis and Geometry | 2010年 / 38卷
关键词：
Lorentzian Geometry; Causal conjugate points; Timelike conformal vector fields;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A sequence of integral inequalities for any compact conformally stationary Lorentzian manifold with no conjugate points along its causal geodesics is obtained. If the equality holds for one of them, the Lorentzian manifold must be flat. As an application, several classification results for such manifolds are proved.
引用
收藏
页码：135 / 144
页数：9
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