| Project/Area Number |
22540097
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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 | Tokai University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 微分幾何学 / リーマン・フィンスラー構造 / cut locus / fractal / geodesics / dense set / Riemannian manifolds / Riemann-Finsler metric / reversible geodesics / 外微分形式 / symplectic manifolds / generalized Finsler structures / Riemannian warped products / 3-manifolds topology / Lie groups / 測地線 / 接触幾何学 / リーマン力学系 / 接続 |
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| Research Abstract |
This research clarifies global and topological properties of Riemann-Finsler structures. Precisely, we study the geodesics behavior, cut locus, topology of closed 3-manifolds carrying generalized Finsler structures.
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