| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
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| Research Abstract |
We investigated value-distribution-theoretic properties of Gauss maps for several classes of immersed surfaces in space forms. In particular, we can obtain the precise maximum for the number of exceptional values of Gauss maps for weakly complete flat fronts in the hyperbolic 3-space and improper affine fronts in the affine 3-space. As an application of this result, a new simple proof of Bernstein type theorems for these classes was provided.
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