| Budget Amount *help |
¥7,800,000 (Direct Cost: ¥6,000,000、Indirect Cost: ¥1,800,000)
Fiscal Year 2009: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2008: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2007: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
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| Research Abstract |
I studied the Godbillon-Vey class of transversely holomorphic foliations, and showed that it is rigid under continuous deformations in the category of transversely holomorphic foliations. It is also shown that an invariant of deformations of foliations is closely related to the rigidity. I also introduced a new, simple definition of Fatou and Julia sets of transversely holomorphic foliations. A classification of Fatou components and some fundamental properties concerning invariant metics and conformal measures are obtained.
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