| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
The history of cross ratio goes back to ancient Greece. Nevertheless, our understanding on it or its "falks", namely, Schwarzian derivative, para-Kaehler structures and geodesic currents seems quite restrictive. The present research aimed at improve our understanding on them. In particular, starting from para-Kaehler geometry, we discovered new definitions of to the energy of legandrian knots and of the Gauss maps of hypersurfaces of the hyperbolic space. We are going to develop new theories on those new objects in a year or two.
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