| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
When the structure equations (nonlinear partial differential equations) of a surface is an integrable system, the surface is called "integrable surface". In the research, we gave constructions and characterizations of integrable surfaces. In particular, using loop group structures of integrable surfaces, we gave a construction of minimal surfaces in the three-dimensional Heisenberg group, constant Gaussian curvature surfaces in the three-sphere and a characterization of Demoulin surfaces in the three-dimensional real projective space. Moreover, we gave a new method obtaining the discrete mKdV equation using a loop group action.
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