| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
We established a certain development for some problems on "integrable geodesic flows". First, we succeeded enlarging the structure theorem on c-projective equivalence problem to certain degenerate case. Second, we studied the conjugate locus on ellipsoid and Liouville manifolds; we specified the form of singularities arising at branch points and clarified their total shape. Third, we developed the classical result of Staude on the drawing of ellipsoid by pins and thread to Liouville manifolds of any dimension. Fourth, we obtained a Kaehlerian analogue of Eisenhart's theorem concerning the integrability of geodesic flows.
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