2006年1月
On the first homology of the group of equivariant Lipschitz homeomorphisms
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
- ,
- ,
- 巻
- 58
- 号
- 1
- 開始ページ
- 1
- 終了ページ
- 15
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.2969/jmsj/1145287091
- 出版者・発行元
- MATH SOC JAPAN
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 C-n 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.
- リンク情報
- ID情報
-
- DOI : 10.2969/jmsj/1145287091
- ISSN : 0025-5645
- Web of Science ID : WOS:000238136400001