| Co-Investigator(Renkei-kenkyūsha) |
MABUCHI Toshiki 大阪大学, 大学院理学研究科, 教授 (80116102)
AKUTAGAWA Kazuo 東京工業大学, 大学院理工学研究科, 教授 (80192920)
ONO Kaoru 京都大学, 数理解析研究所, 教授 (20204232)
NAKAJIMA Hiraku 京都大学, 数理解析研究所, 教授 (00201666)
ONO Hajime 埼玉大学, 大学院理工学研究科, 准教授 (70467033)
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| Budget Amount *help |
¥31,590,000 (Direct Cost: ¥24,300,000、Indirect Cost: ¥7,290,000)
Fiscal Year 2012: ¥7,540,000 (Direct Cost: ¥5,800,000、Indirect Cost: ¥1,740,000)
Fiscal Year 2011: ¥7,540,000 (Direct Cost: ¥5,800,000、Indirect Cost: ¥1,740,000)
Fiscal Year 2010: ¥7,540,000 (Direct Cost: ¥5,800,000、Indirect Cost: ¥1,740,000)
Fiscal Year 2009: ¥8,970,000 (Direct Cost: ¥6,900,000、Indirect Cost: ¥2,070,000)
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| Research Abstract |
A general existence result of toric Sasaki-Einstein metrics was established. As its application, an eternal solution of Kaehler Ricci flow was constructed on the canonical line bundle of toric Fano Manifolds.
On polarized manifolds with non-discrete automorphisms, it is shown that there are integral invariants which obstruct asymptotic Chow semi-stability. Using them it is possible to show the existence of a toric Fano Kaehler-Einstein manifold which is asymptotically unstable. It has been shown by S.K.Donaldson that a polarized manifolds with constant scalar curvature and with discrete automorphisms is asymptotically Chow-stable.
A universal lower diameter bound for compact shrinking Ricci solitons was obtained.
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