2012 Fiscal Year Final Research Report
Geometric research on homogeneous bounded domains and homogeneous convex cones
| Project/Area Number |
22740085
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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 |
Basic analysis
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| Research Institution | Kanazawa University |
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Principal Investigator |
KAI Chifune 金沢大学, 数物科学系, 助教 (70506815)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 等質有界領域 / 等質錐 / ジーゲル領域 / 因果構造 / 対称錐 |
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| Research Abstract |
From a geometric point of view, we studied homogeneous bounded domains in complex Euclidean spaces and the associated homogeneous convex cones appearing in the definition of Siegel domains. In particular, we focused on causal structures naturally introduced on homogeneous convex cones or regular convex cones. It turned out that a causal automorphism on a regular convex cone is linear.
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