| Project/Area Number |
14340022
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (B)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Geometry
|
|---|
| Research Institution | Ochanomizu University |
|---|
Principal Investigator |
NAKAI Isao Ochanomizu University, Faculty of Science, Professor, 理学部, 教授 (90207704)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
SUWA Tatsuo Niigata University, Institute of Science and Technology, Professor, 自然科学系, 教授 (40109418)
SATO Hajime Nagoya University, Graduate school of Mathmatics, Professor, 大学院・多元数理研究科, 教授 (30011612)
ASUKE Taro The University of Tokyo, Graduate School of Mathematical Sciences, Associate Professor, 大学院・数理科学研究科, 助教授 (30294515)
TAKEBE Takashi Ochanomizu University, Faculty of Science, 理学部, 助教授 (60240727)
MAJIMA Hideyuki Ochanomizu University, Faculty of Science, 理学部, 教授 (50111456)
伊藤 敏和 龍谷大学, 経済学部, 教授 (60110178)
大沢 健夫 名古屋大学, 大学院・多元数理科学研究科, 教授 (30115802)
|
|---|
| Project Period (FY) |
2002 – 2005
|
| Project Status |
Completed (Fiscal Year 2005)
|
| Budget Amount *help |
¥11,400,000 (Direct Cost: ¥11,400,000)
Fiscal Year 2005: ¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 2004: ¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 2003: ¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 2002: ¥3,800,000 (Direct Cost: ¥3,800,000)
|
|---|
| Keywords | complex foliation / holomorphic diffeomorphism / web geometry / complex dynamics / ordinary differential equation / ホロノミー / Chern接続 / Campbell-Hausdorff / 関係式 / 複素力学 / Horomorphic diffeomorphism / Relation / 一階微分方程式 / 葉層 / Campbell-Hansdorff / WEB / フェルマー曲面 |
|---|
| Research Abstract |
We found some nentrivial relations of formal diffeomorphisms of C fixing 0 by the following method. In order to expand words of two formal series in Z∈C, we used the well known Camphell-Hausdorff formula in Lie algebra theory in a generalized form. If all the coefficients are 0, the word in idmtically Z, thus we obtain a relation. The property that the relation holds choosing Taylor coefficients of two diffecs properly is a combinatorial condition on the word.
|
