On the structure of the group of Lipschitz homeomorphisms and its subgroups

被引：9

作者：

Abe, K ^{[1
]}

Fukui, K

机构：

[1] Shinshu Univ, Dept Math Sci, Matsumoto, Nagano 3908621, Japan

[2] Kyoto Sangyo Univ, Dept Math, Kyoto 6038555, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2001年 / 53卷 / 03期

关键词：

Lipschitz homeomorphisms; commutator; perfect; Lie group; principal G-bundle;

D O I：

10.2969/jmsj/05330501

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the group of Lipschitz homeomorphisms of a Lipschitz manifold and its subgroups. First we study properties of Lipschitz homeomorphisms and show the local contractibility and the perfectness of the group of Lipschitz homeomorphisms. Next using this result we can prove that the identity component of the group of equivariant Lipschitz homeomorphisms of a principal G-bundle over a closed Lipschitz manifold is perfect when G is a compact Lie group.

引用

页码：501 / 511

页数：11

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