| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
We characterized indefinite projective surfaces developable to affine spheres which admit a lift to the affine space of codimension two satisfying a certain kind of the Einstein condition. We determined nondegenerate centroaffine surfaces whose cubic form is parallel or the traceless part of the cubic form is recurrent with respect to the induced connection. We determined nondegenerate centroaffine ruled surfaces satisfying geometric conditions that the center map is a point or a curve, or a part of the plane through the origin. We characterized proper affine spheres centered at the origin of cohomogeneity one, and classified centroaffine minimal surfaces with constant curvature of cohomegeneity one.
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