2012 Fiscal Year Final Research Report
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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| Keywords | 微分幾何 / ワイエルストラス型表現公式 / 特異点 |
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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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Research Products
(20 results)
