| Project/Area Number |
19340012
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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 | Hokkaido University |
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Principal Investigator |
YAMAGUCHI Keizo Hokkaido University, 大学院・理学研究院, 教授 (00113639)
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| Co-Investigator(Kenkyū-buntansha) |
IZUMIYA Shuichi 北海道大学, 大学院・理学研究院, 教授 (80127422)
ONO Kaoru 北海道大学, 大学院・理学研究院, 教授 (20204232)
ISHIKAWA Goo 北海道大学, 大学院・理学研究院, 教授 (50176161)
MATSUMOTO Keiji 北海道大学, 大学院・理学研究院, 教授 (30229546)
HURUHATA Hitoshi 北海道大学, 大学院・理学研究院, 准教授 (80282036)
YATSUI Tomoaki 北海道教育大学, 教育学部, 准教授 (00261371)
NAKAI Isao お茶の水女子大学, 理学部, 教授 (90207704)
OZAWA Tetasuya 名城大学, 理工学部, 教授 (20169288)
SASAKI Takeshi 神戸大学, 理学部, 教授 (00022682)
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| Project Period (FY) |
2007 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥17,810,000 (Direct Cost: ¥13,700,000、Indirect Cost: ¥4,110,000)
Fiscal Year 2010: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2009: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2008: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2007: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
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| Keywords | 微分式系 / 階別単純リー環 / 接触幾何学 / 包合系 / 接触変換 / 高次ジェット空間 / 有限型微分方程式系 |
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| Research Abstract |
We determined the class of differential equations of finite type, which admits extraordinarily rich infinitesimal symmetries, among the classes of differential equations of finite type obtained from the Se-ashi's principle. Moreover we write up explicitly the model equations of this class of finite type equations. Furthermore we investigated the fundamental Reduction procedure in the fields of Contact Geometry of second Order and formulated two fundamental Reduction Theorems.
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