| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Research Abstract |
We obtained some new results concerning integrable geodesic flows: We clarified the structure of conjugate locus and their singularities on ellipsoids and certain Riemannian manifolds with integrable geodesic flows. In particular, we found that D4+-singularity of Arnold appears at the bifurcation points. Furthermore, we found some intimate relationship between certain Kaehler manifolds with integrable geodesic flows and C-projective equivalence, which seems deeper than usually recognized.
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