2011 Fiscal Year Final Research Report
Nonintegrable tangent distributions and topology of manifolds
| Project/Area Number |
21540058
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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 | Hokkaido University |
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Principal Investigator |
ADACHI Jiro 北海道大学, 大学院・理学研究院, 非常勤講師 (20374184)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 円形ハンドル / 接触構造 / エンゲル構造 |
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| Research Abstract |
I studied some properties of the so-called contact structures. A contact structure is a completely nonintegrable hyperplane field on a so-called manifold. I introduced a new notion of contact round surgery by constructing symplectic round handle. It is expected to be applied to the higher dimensional and higher order contact geometry.
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