2018 Fiscal Year Final Research Report
Deformation Space of Hyperbolic Manifolds and Lorentzian Geometry
| Project/Area Number |
15K04841
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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 | Nagoya University |
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Principal Investigator |
ITO kentaro 名古屋大学, 多元数理科学研究科, 准教授 (00324400)
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| Project Period (FY) |
2015-04-01 – 2019-03-31
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| Keywords | 双曲幾何 / 擬リーマン幾何 |
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| Outline of Final Research Achievements |
We study 3-dimensional pseudo-Riemannian space form which have relation with hyperbolic geometry. We start construction of the geometry of SL(2,C). We study fundamental properties of totally geodesic pseudo-Riemannian space form contained in SL(2,C). Especially, we start construction of theory of surfaces in SL(2,C), wich is a generalization of that in pseudo-Riemannian space forms.
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| Free Research Field |
幾何学
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| Academic Significance and Societal Importance of the Research Achievements |
双曲幾何をより広い枠組みで捕らえる試みを行っており，将来的な発展が見込まれる．
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