2017 Fiscal Year Final Research Report
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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| Keywords | CAT(1)-空間 |
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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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| Free Research Field |
距離空間の幾何学
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