| Budget Amount *help |
¥17,550,000 (Direct Cost: ¥13,500,000、Indirect Cost: ¥4,050,000)
Fiscal Year 2011: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2009: ¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2008: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
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| Research Abstract |
Through a multidisciplinary research on variational problems associated with higher order geometric structures, such as Finsler structures and conformal structures, we prove the following. 1) Any energy minimizing harmonic map from the Riemann sphere into a weakly Kaehler Finsler manifold of positive curvature is either holomorphic or antiholomorphic. 2) The singular set of a nonholomorphic harmonic map from a compact Riemann surface into a complex Finsler manifold is a finite set. 3) Under volume preserving conformal variations of metrics, each Einstein metric of positive scalar curvature is a stable critical point of the total Q curvature.
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