Isometric actions of SLn(R) x Rn on Lorentz manifolds

被引：7
|
作者：
Adams, S [1 ]
Stuck, G
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] Univ Maryland, Dept Math, College Pk, MD 20742 USA
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2001年 / 121卷 / 1期
关键词：
Vector Field; Symmetric Bilinear Form; Lorentz Manifold; Isometric Action; Kill Vector Field;
D O I：
10.1007/BF02802498
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a locally faithful, isometric action of SLn(R) x R-n on a connected Lorentz manifold must be a proper action. This provides an essential step toward classifying nonproper isometry groups of noncompact Lorentz manifolds.
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页码：93 / 111
页数：19
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