Study of deformation of group actions from various viewpoints
| Project/Area Number |
22684003
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| Research Category |
Grant-in-Aid for Young Scientists (A)
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| Allocation Type | Single-year Grants |
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| Research Field |
Global analysis
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| Research Institution | Kyoto University |
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Principal Investigator |
ASAOKA Masayuki 京都大学, 理学(系)研究科(研究院), 准教授 (10314832)
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| Project Period (FY) |
2010-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥10,010,000 (Direct Cost: ¥7,700,000、Indirect Cost: ¥2,310,000)
Fiscal Year 2013: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2012: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2011: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2010: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
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| Keywords | 群作用 / 力学系 / 葉層構造 / 葉層理論 / 幾何学 |
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| Research Abstract |
We studied deformation of group actions from various viewpoints, mainly from geometric and dynamical view points. From geometric side, we proved that a natural conformal action on the sphere admits only conformal deformation. We also applied the method used in this result to another action on the torus. We proved an action on the torus which preserves a geometric structure admits only deformation which preserves the same type of geometric structure. From dynamical side, we reinterpreted several known rigidity results on group actions from the viewpoint of expansion property of the actions
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Report
(5 results)
Research Products
(46 results)
