Gromov's centralizer theorem

被引：23

作者：

Candel, A ^{[1
]}

Quiroga-Barranco, R

机构：

[1] Calif State Univ Northridge, Dept Math, Northridge, CA 91330 USA

[2] CINVESTAV, IPN, Dept Matemat, Mexico City 07300, DF, Mexico

来源：

GEOMETRIAE DEDICATA | 2003年 / 100卷 / 01期

基金：

美国国家科学基金会;

关键词：

simple Lie groups; finite type structures; analytic actions;

D O I：

10.1023/A:1025892501271

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the properties of rigid geometric structures and their relation with those of finite type. The main result proves that for a noncompact simple Lie group G acting analytically on a manifold M preserving a finite volume and either a connection or a geometric structure of finite type there is a nontrivial space of globally defined Killing vector fields on the universal cover (M) over tilde that centralize the action of G. Several appplications of this result are provided.

引用

页码：123 / 155

页数：33