2011 Fiscal Year Final Research Report
Construction of theory of non-commutative partial differential equations by Schwarzian and twistor methods
| Project/Area Number |
21540076
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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 | Nagoya University |
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Principal Investigator |
SATO Hajime 名古屋大学, 大学院・多元数理科学研究科, 名誉教授 (30011612)
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| Co-Investigator(Renkei-kenkyūsha) |
OZAWA Tetsuya 名城大学, 理工学部, 教授研究者 (20169288)
SUZUKI Hiroshi 名古屋大学, 大学院・多元数理科学研究科, 准教授 (70235993)
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| Project Period (FY) |
2009 – 2011
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| Keywords | シュワルツ微分 / 放物幾何 / リー構造 |
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| Research Abstract |
We decide the fundamental system of linear differential equations for pseudo-hermitian structures which are given by fixing a contact form of a CR-manifold. The integrability condition of the system coincides with the vanishing of the torsion and the curvature of the Tanaka-Webster connection. The Lie tensor product structure defined by one root is fundamental element of parabolic geometry. We give the connection of the structure for the basis of the analysis.
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