| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
(1) For a complex or real hypersurface S in the 2-dimensional complex projective space P_2, we gave explicit formulas of the Levi form of the distance function d to S decided by Funini-Study metric. As its application, we also give the relations the constant 'a' with the function -(d to the a-th power) to be strictly plurisubharmonic and the curvature of S. In particular, we cannot choose the constant a=1/2.
(2) For a real hypersurface in the n-dimensional complex Euclidean space C_n, we give a new explicit formula of the Levi form of the distance function to S.
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