| 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: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
In differential geometry, Gauss map is very important to study geometric structure of surfaces and submanifolds. We define a Gauss map from real hypersurface in complex projective space to oriented complex 2-plane Grassmannian. We showed that if a real hypersurface is not Hopf, then the Gauss map is an immersion. If a real hypersurface is Hopf, then the image under the Gauss map is a Kahler submanifold and the Hopf hypersurface is the total space of a circle bundle over Kahler manifold.
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