| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
I studied the Gromov-Hausdorff limit space of a sequence of Riemannian manifolds with a lower Ricci curvature bound via functional analytic methods. In particular we introduce the notion of Lp-convergence with respect to the Gromov-Hausdorff convergence, prove regularities of limit spaces via the convergence theory, and give applications of them to Riemannian geometry.
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