2016 Fiscal Year Final Research Report
Global properties of surfaces which possess the Wewierstrass type representation formulae and their singularities
| Project/Area Number |
25800047
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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 | Okayama University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Keywords | ワイエルストラス型表現公式 / 極小曲面 / 極大曲面 / 平均曲率0曲面 / 特異点 |
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| Outline of Final Research Achievements |
The global properties of surfaces which possess Weierstrass type representation formulae and their singularities were investigated. For periodic minimal surfaces in Euclidean 3-space, the moduli space and its degenerate limits were studied. For zero mean curvature surfaces with mixed causal type in Minkowski 3-space, many families of such surfaces were constructed, and the embeddedness of some of them were proved. Moreover, relation between zero mean curvature surfaces and 2-dimensional fluid mechanics was observed.
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| Free Research Field |
微分幾何学
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