2015 Fiscal Year Final Research Report
The study of collapsing Riemannian manifolds related to Ricci curvature
| Project/Area Number |
24740046
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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 | Tohoku University (2015)
Kyushu University (2012-2014) |
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Principal Investigator |
Honda Shouhei 東北大学, 理学(系)研究科(研究院), 准教授 (60574738)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Keywords | Ricci曲率 |
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| Outline of Final Research Achievements |
I studied the Gromov-Hausdorff limit space of a sequence of Riemannian manifolds with a lower Ricci curvature bound via functional analytic methods. In particular we introduce the notion of Lp-convergence with respect to the Gromov-Hausdorff convergence, prove regularities of limit spaces via the convergence theory, and give applications of them to Riemannian geometry.
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| Free Research Field |
リーマン幾何学
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