| Project/Area Number |
23540114
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Doshisha University (2012-2014)
Kinki University (2011) |
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Principal Investigator |
MORIMOTO Tohru 同志社大学, 研究開発推進機構, 嘱託研究員 (80025460)
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| Co-Investigator(Renkei-kenkyūsha) |
ISHIKAWA Goo 北海道大学, 大学院理学研究科, 教授 (50176161)
FURUTANI Kenro 東京理科大学, 理工学部, 教授 (70112901)
MACHIDA Yoshinori 沼津工業高等専門学校, 嘱託教授 (90141895)
TSUKAMOTO Chiaki 京都工芸業繊維大学, 工芸科学研究科, 教授 (80155340)
AGAOKA Yoshio 広島大学, 総合科学部, 教授 (50192894)
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 巾零幾何 / 巾零解析 / 内在的幾何 / 外在的幾何 / 微分方程式系 / 不変量 / Klein-Cartan programme / Klein-Cartan Program / 微分方程式系の不変量 / 剛性定理 / サブリーマン幾何 / リー環の表現と微分方程式 / 線形偏微分方程式 / Klein-Cartanプログラム / 旗多様体 / 外在幾何 / nilpotent analysis / nilpotent geometry / 微分方程式の幾何 / リー環の表現と幾何 |
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| Outline of Final Research Achievements |
In the course of developing nilpotent geometry and nilpotent analysis, we proposed a Klein-Cartan programme for systems of linear differential equations and have established a general framework to carry it out. We are now trying to establish a much more general framework to treat a Klein-Cartan programme for geometries (intrinsic and extrinsic) and differential equations (linear and non-linear).
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