On the first homology of the group of equivariant Lipschitz homeomorphisms

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概要

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• We study the structure of the group of equivariant Lipschitz homeomorphisms of a smooth G-manifold M which are isotopic to the identity through equivariant Lipschitz homeomorphisms with compact support. First we show that the group is perfect when M is a smooth free G-manifold. Secondly in the case of Cn with the canonical U(n)-action, we show that the first homology group admits continuous moduli. Thirdly we apply the result to the case of the group L(C, 0) of Lipschitz homeomorphisms of C fixing the origin.

• 社団法人 日本数学会の論文
• 2006-01-01

著者

• MIURA Takeshi

  Department of Electronic Engineering, University of Electro-Communications

• Miura Takeshi

  Department Of Applied Mathematics And Physics Graduate School Of Science And Engineering Yamagata Un

• Fukui Kazuhiko

  Department Of Mathematics Kyoto Sangyo University

• ABE Kojun

  Department of Mathematical Sciences Shinshu University

• MIURA TAKESHI

  Department of Applied Chemistry, Osaka City University

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