2012 Fiscal Year Final Research Report
Studies of compact homogeneous complex manifolds via of non-Kahler structures
| Project/Area Number |
22740040
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Shimane University |
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Principal Investigator |
YAMADA Takumi 島根大学, 総合理工学研究科, 准教授 (40403117)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 擬ケーラー多様体 / リー群 / リー環 / 等質空間 |
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| 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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