| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Outline of Final Research Achievements |
We studied special Lagrangian submanifolds in Calabi-Yau manifolds. Moreover we investigated Floer homology and Hamiltonian volume minimizing properties of Lagrangian submanifolds, and we also investigated conical singularities on minimal submanifolds.
The cotangent bundles of compact rank one symmetric spaces admit complete Ricci flat Kahler metrics of cohomogeneity one due to M. Stenzel. Using the symmetry of the Stenzel metric, we constructed cohomogeneity one special Lagrangian submanifolds in the cotangent bundle of the sphere by the moment map technique. Furthermore, we observed singularities and the asymptotic behavior of those special Lagrangian submanifolds.
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