| Project/Area Number |
23654019
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Kyoto University (2012)
Tohoku University (2011) |
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Principal Investigator |
FUJIWARA Koji 京都大学, 理学研究科, 教授 (60229078)
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| Project Period (FY) |
2011 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Keywords | 微分幾何 / 微分トポロジー / 群論 / 幾何学 / トポロジー / タイヒミュラー空間 / 増大度 / 無限離散群 |
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| Research Abstract |
I studied the group of interval exchange transformations, IET. In a joint work with Guirardel and Dahmani, we proved many new results including that any subgroup in IET that is isomorphic to a Lie group is abelian. This is an unexpected result. I also studied the Funk metric on Teichmuller space, and obtained a number of interesting results. My study shows that the Funk metric on Teichmuller space is very different from the original Funk metric for a convex domain in a Euclidean space, and opened a new direction of the study on the Funk metric on a space which has negative curvature.
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