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.
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页码：2831 / 2833
页数：3
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