| Budget Amount *help |
¥17,550,000 (Direct Cost: ¥13,500,000、Indirect Cost: ¥4,050,000)
Fiscal Year 2021: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2020: ¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2019: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2018: ¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2017: ¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
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| Outline of Final Research Achievements |
The line theorem for a class of surfaces containing zero mean curvature surfaces in Minkowski 3-space, which states that such a surface contains a light-like line if it contains light-like point, is generalized for hypersurfaces in Lorenzian manifolds. As applications, an extension of the Bernstein-type theorem, and a classification of light-like hypersurfaces are obatained.
Under a formulation on analytic extensions of surfaces, the analytic extensions of catenoids in de Sitter 3-space are determined, and proved that they have no further extensions.
Number of isomety class of surfaces having a given space curve as their cuspidal edges, and number of curved paper folding having a given curve as their creases, are determined.
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