2011 Fiscal Year Final Research Report
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 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)
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| Project Period (FY) |
2008 – 2011
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| Keywords | surface theory / asymptotics of surfaces / discrete differential geometry |
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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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