| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
We showed that a nondegenerate surface in the projective 3-space is locally constructed from a centroaffine minimal surface in the 4-dimensional vector space. The condition for such a surface to be projectively applicable to an affine sphere was obtained. We determined a nondegenerate centroaffine ruled surface such that the image of its center map lies on a plane containing the origin.
We defined the sectional curvature for a statistical structure, and found several properties of CR statistical submanifolds in a holomorphic statistical manifold of constant holomorphic sectional curvature, which are similar to well-known results for CR submanifolds in a Kaehler space form. We introduced notions of Sasakian statistical structure and Kenmotsu statistical structure, and gave their interesting examples.
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