2004 Fiscal Year Final Research Report Summary
Study on Homeomorphism Group
| Project/Area Number |
14540093
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Kyoto Sangyo University |
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Principal Investigator |
FUKUI Kazuhiko Kyoto Sangyo University, Faculty of Science, Professor, 理学部, 教授 (30065883)
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| Co-Investigator(Kenkyū-buntansha) |
USHITAKI Fumihiko Kyoto Sangyo University, Faculty of Science, Associate Professor, 理学部, 助教授 (30232820)
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| Project Period (FY) |
2002 – 2004
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| Keywords | Lipschitz mapping / first homology of group / perfect / action of finite group / orbifold / foliated structure |
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| Research Abstract |
(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".
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