Research on geometry involving Ricci flow
| Project/Area Number |
26800035
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Geometry
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| Research Institution | Kyoto University |
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Principal Investigator |
Yokota Takumi 京都大学, 数理解析研究所, 助教 (70583855)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | CAT(1)-空間 / リッチ流 |
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| Outline of Final Research Achievements |
Several results on the p-barycenter of probability measures on CAT(1)-spaces of small radius were obtained. CAT(1)-spaces are metric spaces of curvature at most 1. In particular, the unique existence and some properties of p-barycenter of probability measures on those spaces were obtained. These are extensions of the results known on CAT(0)-spaces. Moreover, the law of large number formulated with p-barycenter of probability measures on CAT(1)-spaces of small radius was proved.
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Report
(5 results)
Research Products
(19 results)
