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.

引用

页码：93 / 111

页数：19

共 11 条

[1]

ADAM S, IN PRESS T AM MATH S

[2]

ADAMS, 1999, TRANSITIVE ACTION LO

[3]

ADAMS, IN PRESS GEOMETRIC F

[4] The isometry group of a compact Lorentz manifold .1. [J].

Adams, S ;

Stuck, G .

INVENTIONES MATHEMATICAE, 1997, 129 (02) :239-261

[5]

Adams S, 1997, INVENT MATH, V129, P263, DOI 10.1007/s002220050164

[6]

ADAMS S, 1999, ORBIT NONPROPER DYNA

[7]

ADAMS S, 1999, INDUCTION GEOMETRIC

[8]

KOBAYSHI S, 1963, FDN DIFFERENTIAL GEO, V1

[9] Noncompact simple automorphism groups of Lorentz manifolds and other geometric manifolds [J].

Kowalsky, N .

ANNALS OF MATHEMATICS, 1996, 144 (03) :611-640

[10] The identity component of the isometry group of a compact Lorentz manifold [J].

Zeghib, A .

DUKE MATHEMATICAL JOURNAL, 1998, 92 (02) :321-333

← 1 2 →