| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
|
|---|
| Research Abstract |
In this period, I study the geometry of Teichmuller space. I obtain the intersection number in extremal length geometry of Teichmuller space. As applications, we have an alternative proofs of Royden-Earle-Kra-Markovic-Ivanov's result ``Except for few cases, the isometry group on Teichmuller space coincides with the extended mapping class group", and Masur-Wolf's theorem ``Teichmuller space is not Gromov-hyperbolic". I also obtain a rigidity theorem of holomorphic disks in Teichmuller space by using the asymptotic behavior of the Gromov product. This is an application of our Thurston theory to the study of the complex structure on Teichmuller space.
|
