| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
I gave many affirmative partial answers to BMO conjecture that is, any complete biharmonic submanifold M in spheres has constant mean curvature" under the following assumptions: 1. the sectional curvature of M is bounded from above and the mean curvature is bounded from below with some integrability conditions, 2. nowhere zero mean curvature vector, the squared norm of the second fundamental form is bounded from above and some integrability conditions. Furthermore, I and Tomoya Miura showed that any triharmonic Riemannian submersion from a 3-dimensional space form is harmonic.
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