| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
We studied complex submanifolds of quaternionic manifolds and quaternionic Kaehler manifolds. We developed the theory of transversally complex submanifolds in a quaternion projective space. We found the (2,0)+(0,2)-part of the second fundamental form and the function S whose values are complex structures of a quaternionic vector space as the invariants of the quaternionic differential geometry. We studied the theory of the construction and the classification of totally complex submanifolds in a complex Grassmann manifold of 2-planes. We showed that the projective cotangent bundle of a complex projective space is a twistor space of the complex Grassmann manifold. Applying this fact, we construct maximal totally complex submanifolds of the complex Grassmann manifold from complex submanifolds of a complex projective space.
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