Rigidity of partially hyperbolic dynamical systems and actions of solvable Lie groups
| Project/Area Number |
19740085
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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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 Kyoto University, 大学院・理学研究科, 准教授 (10314832)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥3,600,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,000,000 (Direct Cost: ¥1,000,000)
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| Keywords | 群作用 / 双曲力学系 / 葉層構造 / 力学系 |
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| Research Abstract |
I gave a complete classification of locally free actions of the wo-dimensional non-abelian Lie group on three-manifolds, which was a open problem for hirty years. I also constructed the deformation space of the actions. For analogous actions n higher dimension, I conjectured that they are flexible similar to the low-dimensional ase. However, it turned out that the actions exhibits rigidity in higher-dimension. I also ormulated a natural conjecture on parameter rigidity of locally free actions of solvable Lie roups in terms of the leafwise cohomology of the orbit foliations
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Report
(4 results)
Research Products
(28 results)
