Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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Outline of Final Research Achievements |
We developed geometry of horospheres, level hypersurfaces of Busemann function and obtained rigidity theorems of real, complex, quaternionic hyperbolic spaces in terms of volume entropy These results are consequence of the identity theorem of volume entropy and horosphere mean curvature for an asymptotically harmonic Hadamard manifold. We obtained information geometry of barycenter map on ideal boundary of an Hadamard manifold by using theory developed by T.Friedrich.
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