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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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | スカラー曲率 / 超曲面 / 極小部分多様体 / ユークリッド空間 / 比較定理 / 第二基本形式 |
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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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Report
(6 results)
Research Products
(22 results)
