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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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | シュワルツ微分 / 放物幾何 / リー構造 / リー・テンソル積構造 / ルジャンドル織物 / グロンウォール予想 / プシュードハーミッシアン構造 / CR多様体 / 田中-ウェブスター接続 |
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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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Report
(4 results)
Research Products
(26 results)
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[Presentation] 微分式と幾何構造2012
Author(s)
佐藤肇
Organizer
第35回トポロジーセミナー
Place of Presentation
たてやま夕日海岸ホテル
Year and Date
2012-03-16
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