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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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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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 / 解析的延長 / 退化極限 / クリストッフェル変換 / 光的直線 |
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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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Report
(5 results)
Research Products
(22 results)
