Surfaces which possess Weierstrass-type representationformula and their singularities
| Project/Area Number |
21740052
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Okayama University (2010-2012)
Fukuoka University of Education (2009) |
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Principal Investigator |
FUJIMORI Shoichi 岡山大学, 大学院・自然科学研究科, 准教授 (00452706)
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| Project Period (FY) |
2009 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 微分幾何 / ワイエルストラス型表現公式 / 特異点 / 極小曲面 / 極大曲面 / 平均曲率一定曲面 / 周期問題 / オッサーマン型不等式 |
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| Research Abstract |
Properties of surfaces which possess Weierstrass-type representation formula are investigated. For minimal surfaces in Euclidean 3-space and constant mean curvature 1 surfaces in hyperbolic 3-space, higher genus examples are constructed. For spacelike maximal surfaces in Minkowski 3-space and spacelike constant mean curvature 1 surfaces in de Sitter 3-space,the behavior of singularities and ends are investigated. Moreover, zero mean curvature surfaces in Minkowski 3-space are investigated and some non-trivial embedding are constructed.
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Report
(5 results)
Research Products
(35 results)
