| Project/Area Number |
09640096
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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 | THE UNIVERSITY OF ELECTRO COMMUN. |
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Principal Investigator |
YAMAGUCHI K. Univ.Electro-Communications, Faculty of Electro-Comm., Associate Professor, 電気通信学部, 助教授 (00175655)
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| Co-Investigator(Kenkyū-buntansha) |
FUKUHARA M. Univ.Elec.-Comm., Fac.Elec.-Comm., Assist.Prof., 電気通信学部, 助手 (60272754)
MISAWA M. Univ.Elec.-Comm., Fac.Elec.-Comm., Lecturer, 電気通信学部, 講師 (40242672)
TAKEDA T. Univ.Elec.-Comm., Fac.Elec.-Comm., Professor, 電気通信学部, 教授 (60272746)
WATANABE J. Univ.Elec.-Comm., Fac.Elec.-Comm., Professor, 電気通信学部, 教授 (90011535)
OOKUBO K. Univ.Elec.-Comm., Fac.Elec.-Comm., Professor, 電気通信学部, 教授 (00087016)
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| Project Period (FY) |
1997 – 1998
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| Project Status |
Completed (Fiscal Year 1998)
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| Budget Amount *help |
¥2,900,000 (Direct Cost: ¥2,900,000)
Fiscal Year 1998: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1997: ¥1,700,000 (Direct Cost: ¥1,700,000)
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| Keywords | topology / homotopy / harmonic map / configuration space / valuation / differential equation / space / numerical analysis / ケージ理論 / 多項式 / コホモロジー / 常微分方程式 / 応用解析学 |
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| Research Abstract |
The main purpose of K.Yamaguchi is to study the topologies of labelled configuration spaces, which are recently well studied from the point of view of harmonic maps and is to investigate the topologies of several mapping spaces. The former study is mainly based on the joint work with M.Guest (Univ. Rochester, USA) and with A.Kozlowski (Toyama Internaitinal Univ.). First, recently we considered the homotopy type of the space SP^d_n(C) consisting of all monic complex polynomials of degree d and determined it explicitely. Next, he investigated its generalization, which is related to well-known Gromov's Smale-Hirsh principle. In particular1 he found some typical examples of it and published its result. Moreover, he and A.Kozlowski found its relations to the recent work of Vassiliev and submitted the preprint with respect to this work. Finally, concerning to the latter subject, he noticed the group structure of the group of self-homotopy equivalences of SO(4) and submitted it. M.Misawa studied the valation principle related to harmonic maps from the point of view of partial differential equation. In particular, he found the existence and regurality of p-harmonic maps and its gradient flows, whose paper is soon appeared. M.Fukuhara considered the domain decomposition and its applications to numerical computations.
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