| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
In conformal geometric aspect, I gave a new interpretation of regular homotopy invariants of closed curveｓ in terms of differential geometry. This will a first step of developing differential geometry of regular homotopy theory by S. Smale.
In projective geometric aspect, I defined a conformal invariant length of a closed curve in a Riemannian manifold. This definition relies essentially on the classification of projective structures of the circle. I have also an observation that this projective classification is relevant to Yamabe's conformal invariant.
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