| 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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| 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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