2009 Fiscal Year Final Research Report
Correlation between differential equations, geometric structures, and twistor theory
| Project/Area Number |
18540105
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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 | Numazu College of Technology |
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Principal Investigator |
MACHIDA Yoshinori Numazu College of Technology, 教養科, 准教授 (90141895)
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| Co-Investigator(Renkei-kenkyūsha) |
ISHIKAWA Goo 北海道大学, 理学研究科, 教授 (50176161)
MORIMOTO Tohru 奈良女子大学, 名誉教授 (80025460)
FUJII Kazuyuki 横浜市立大学, 総合科学部, 教授 (00128084)
TAKAHASHI Masatomo 室蘭工業大学, ひと文化系, 講師 (80431302)
SATO Hajime 名古屋大学, 名誉教授 (30011612)
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| Project Period (FY) |
2007 – 2009
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| Keywords | ツイスター理論 / 微分方程式 / 幾何構造 / 旗多様体 |
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| Research Abstract |
An aspect of the twistor theory is to research relations and correspondences between different geometric structures defined by a double fibration. For various classes of differential equations associated with geometric structures, we study geometric meanings of equations, properties of solutions, constructions of equations and solutions. We discuss equations associated with cone structures, Clairaut equations, Monge-Ampere equations, equations associated with Lie algebra representations.
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