| Project/Area Number |
15K04852
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Josai University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
長谷川 敬三 新潟大学, 人文社会・教育科学系, 教授 (00208480)
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| Research Collaborator |
Alekseevsky Dmitri. A. Institute for Information Transmission
Cortés Vicente University of Hamburg, Department of Mathematics and Center for Mathematical Physics
Baues Oliver University of Fribourg, Department of Mathematics
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | LcK structure / Vaisman structure / Kaehler structure / Homogeneous space / Sasaki homogeneous space / Seifert fibering / Unimodular Lie group / Holomorphic Isometry / Kaehler structurer / Isometry group / Unimodular group / LCK structure / Heisenberg Lie group / Sasaki structure / Modification / Reductive group / LCK / Vaisman / ケーラー構造 / 佐々木構造 |
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| Outline of Final Research Achievements |
A locally conformal Kaehler structure (lcK structure) on a Hermitian manifold (M,g,J) is the fundamental 2-form Ωsatisfying dΩ =ΩΛθ for some closed 1-form θ. The Lee field A is determined by the formula g(X) = g(A,X). If A is holomorphic Killing, then M is said to be a Vaisman manifold. If a Lie group G admits a left invariant lcK structure, G is said to be an lcK group. We have determined homogeneous Vaisman manifolds. Moreover, we classied unimodular Vaisman lcK groups.
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