Quandles and discrete symmetric spaces
| Project/Area Number |
24654012
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Hiroshima University |
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Principal Investigator |
TAMARU Hiroshi 広島大学, 理学(系)研究科(研究院), 教授 (50306982)
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| Co-Investigator(Renkei-kenkyūsha) |
AGAOKA Yoshio 広島大学, 大学院理学研究科, 教授 (50192894)
SHIBUYA Kazuhiro 広島大学, 大学院理学研究科, 准教授 (00569832)
KAMADA Seiichi 大阪市立大学, 大学院理学研究科, 教授 (60254380)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | カンドル / 対称空間 / 二点等質 / 平坦性 / 部分多様体 / 国際情報交換 |
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| Outline of Final Research Achievements |
We introduced the notion of two-point homogeneous quandles, which is an analogy of the notion of two-point homogeneous Riemannian manifolds, and classified those with finite cardinality (The prime cardinality case has been completed by the Principal Investigator, and other case by a Research Partner). We also defined the notion of flat quandles, and classified finite connected ones. The notion of flatness was not defined by curvatures, but a characterization of flat Riemannian symmetric spaces in terms of the transformation groups.
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Report
(4 results)
Research Products
(41 results)
