COMPLETENESS OF COMPACT LORENTZ MANIFOLDS ADMITTING A TIME-LIKE CONFORMAL KILLING VECTOR FIELD

被引：40

作者：

ROMERO, A

SANCHEZ, M

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 09期

关键词：

COMPACT LORENTZ MANIFOLDS; GEODESIC COMPLETENESS; CONFORMAL KILLING VECTOR FIELDS; TIME-LIKE VECTOR FIELDS;

D O I：

10.2307/2160582

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that every compact Lorentz manifold admitting a timelike conformal Killing vector field is geodesically complete. So, a recent result by Kamishima in J. Differential Geometry [37 (1993), 569-601] is widely extended.

引用

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页码：2831 / 2833

页数：3

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