2010 Fiscal Year Final Research Report
Study on the construction of hypersurfaces with constant scalar curvature by using geometric analysis
| Project/Area Number |
19540062
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Ibaraki University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
YAGITA Nobuaki 茨城大学, 教育学部, 教授 (20130768)
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| Project Period (FY) |
2007 – 2010
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| Keywords | スカラー曲率 / 超曲面 |
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| Research Abstract |
The classification problem of complete surfaces with constant Gaussian curvature in the 3-dimensional Euclidean space was solved completely in old days. If we generalize this problem to higher dimensions, the problem is to classify complete hypersurfaces with constant scalar curvature. This probelem is very difficult because of lack of examples. Our study shows that there are many new examples of complete hypersurfaces with constant positive scalar curvature.
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Research Products
(9 results)
