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Study on Homeomorphism Group

同胚群研究

基本信息

批准号：
14540093
负责人：
FUKUI Kazuhiko
金额：
$ 2.18万
依托单位：
Kyoto Sangyo University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2004
项目状态：
已结题

项目摘要

(1) I organized the annual meeting "Homeomorphism Group and its related fields" (December of 2002, February of 2004 and December of 2004, (Kyoto Sangyo University) and I gave a talk (joint with K. Abe) everytime.(2) I and T.Nakamura gave a talk entitled "Topological and algebraic properties of Lipschitz mappings" in the annual meeting of the Mathematical Society of Japan (September of 2002, Shimane University) and published a paper entitled "A topological property of Lipschitz mappings".(3) I participated in "3^<rd> Workshop on Transformation Groups" (Poznan, Poland, August of 2003) and gave a talk entitled "Commutators of Lipschitz homeomorphisms preserving a geometric structure".(4) I participated in the International Conference "Geometry and Foliations, Kyoto 2003" (Ryukoku University, Kyoto, September of 2003) and gave a talk entitled "Commutators of Lipschitz homeomorphisms".(5) I gave a talk entitled "On the structure of the group of equivariant diffeomorphisms and application to foliation" in the meeting "Foliations and related fields" (Tokyo University, October of 2004).(6) I (with K.Abe and T.Miura) submitted a paper entitled "On the first homology of the group of equivariant Lipschitz homeomorphisms".(7) I and K.Abe submitted a paper entitled "On the first homology of automorphism groups of manifols with geometric structures".

(1)我组织了年度会议“同胚群及其相关领域”（2002年12月，2004年2月和2004年12月，京都产业大学），并发表了演讲（与K. Abe）每次。(2)I和T.中村在日本数学学会年会（2002年9月，岛根大学）上作了题为“Lipschitz映射的拓扑和代数性质”的演讲，并发表了题为“Lipschitz映射的拓扑性质”的论文。(3)2003年8月，我参加了“第三届<rd>变换群研讨会”（波兹南，波兰），并作了题为“Lipschitz同胚的交换子保持几何结构”的演讲。(4)我参加了国际会议“几何与叶序，京都2003”（龙谷大学，京都，2003年9月）并发表了题为“Lipschitz同胚的交换子”的演讲。(5)我在“Foliations and related fields”会议（东京大学，2004年10月）上发表了题为“On the structure of the group of equivariant aromorphisms and application to foliation”的演讲。(6)我（与K.阿部和T.三浦）提交了一份文件，题为“关于第一个同源性组的等变Lipschitz同胚”。(7)我和K.Abe提交了一篇论文，题为“关于具有几何结构的流形的自同构群的第一同调”。