On the structure of the group of Lipschitz homeomorphisms and its subgroups
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概要
- 論文の詳細を見る
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 homeo-morphisms. 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.
- 社団法人 日本数学会の論文
著者
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Fukui Kazuhiko
Department Of Mathematics Kyoto Sangyo University
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ABE Kojun
Department of Mathematical Sciences Shinshu University
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