Asymptotic behavior of surfaces with special properties via transformation theory and conserved quantities and integrable systems techniques
| Project/Area Number |
20340012
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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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 | Kobe University |
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Principal Investigator |
W.F Rossma (W.F Rossman) 神戸大学, 大学院・理学研究科, 教授 (50284485)
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| Co-Investigator(Kenkyū-buntansha) |
NORO Masayuki 神戸大学, 大学院・理学研究科, 教授 (50332755)
KOIKE Tatsuya 神戸大学, 大学院・理学研究科, 准教授 (80324599)
小林 真平 弘前大学, 大学院・理工研究科, 助教 (40408654)
藤森 祥一 福岡教育大学, 教育学部, 准教授 (00452706)
國分 雅敏 東京電機大学, 工学部, 教授 (50287439)
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| Project Period (FY) |
2008 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥17,420,000 (Direct Cost: ¥13,400,000、Indirect Cost: ¥4,020,000)
Fiscal Year 2011: ¥5,330,000 (Direct Cost: ¥4,100,000、Indirect Cost: ¥1,230,000)
Fiscal Year 2010: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2009: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2008: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
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| Keywords | surface theory / asymptotics of surfaces / discrete differential geometry / linear Weingarten曲面 / Omega surfaces / 3-dimensional spaceforms / Moebius geometry / Lie sphere geometry / Lorentz spaceforms / conserved quantities / Riemannian connections / constant mean curvature surfaces / flat surfaces / linear Weingarten surfaces / 3-dimensional space forms / Weierstrass type representations / non-positive definite spaceforms / constant mean curvature / spacelike surfaces / Euclidean 3-space / hyperbolic 3-space / de Sitter 3-space / Minkowski 3-space / flat surface / spacelike surface |
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| Research Abstract |
The purpose of this research was to expand our understanding of discretizations in surface theory, in a way that would preserve the geometric mathematical structure (such as the notion of isothermicity, and various transformations like the Christoffel and Calapso and Darboux and Baecklund transformations) that exists for smooth surfaces.
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Report
(6 results)
Research Products
(55 results)
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[Journal Article] 平均曲率一定曲面
Author(s)
W.Rossman
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Journal Title
Iwanami Publication of Kyushu Math-for-Industry GCOE (To appear, 掲載確定)
Related Report
Peer Reviewed
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