Studies of compact homogeneous complex manifolds via of non-Kahler structures
Project/Area Number |
22740040
|
Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Single-year Grants |
Research Field |
Geometry
|
Research Institution | Shimane University |
Principal Investigator |
YAMADA Takumi 島根大学, 総合理工学研究科, 准教授 (40403117)
|
Project Period (FY) |
2010 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
Keywords | 擬ケーラー多様体 / リー群 / リー環 / 等質空間 / リ―群 / 可解多様体 / 旗多様体 / 微分幾何学 / 等質複素多様体 / 非ケーラー構造 / 等質複素空間 / シンプレクティック幾何学 |
Research Abstract |
I studies compact homogenous manifolds by using non-Kahler structures. I have constructed new examples of compact complex solvmanifolds which admit pseudo-Kahler structures, and I have shown that the Ricci curvatures of the above manifolds are zero. I also had that a Killing vector field on a compact pseudo-Kahler manifold is an infinitesimal automorphism of the complex structure. I also got results about signatures of pseudo-Kahler metrics on flag manifolds.
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Report
(4 results)
Research Products
(14 results)