| 具有特殊类型端口的极小曲面的构造 |
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| 引用本文： | 侯中华,张战场,梁传广.具有特殊类型端口的极小曲面的构造[J].数学研究及应用,2010,30(6):997-1008. |
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| 作者姓名： | 侯中华 张战场 梁传广 |
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| 作者单位： | 大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024;大连理工大学数学科学学院, 辽宁 大连 116024 |
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| 基金项目： | 高等学校博士学科点专项科研基金(Grant No.20050141011),大连理工大学交叉学科建设"数学+X"专项基金(Grant No.MXDUT073005). |
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| 摘 要： | We proved that there exists a family of complete oriented minimal surfaces in R3 with finite total curvature-4nπ,each of which has 0 genus and two ends,and both of the ends have winding order n,where n ∈ N,and discussed the symmetric property for special parameters.
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| 关 键 词： | minimal surface total curvature end winding order. |
| 收稿时间： | 4/8/2009 12:00:00 AM |
| 修稿时间： | 2010/4/26 0:00:00 |
Construction of Minimal Surfaces with Special Type Ends |
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| Zhong Hua HOU,Zhan Chang ZHANG and Chuan Guang LIANG.Construction of Minimal Surfaces with Special Type Ends[J].Journal of Mathematical Research with Applications,2010,30(6):997-1008. |
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| Authors: | Zhong Hua HOU Zhan Chang ZHANG and Chuan Guang LIANG |
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| Institution: | School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, P. R. China |
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| Abstract: | We proved that there exists a family of complete oriented minimal surfaces in ${\mathbb{R}}^3$ with finite total curvature $-4n\pi$, each of which has $0$ genus and two ends, and both of the ends have winding order $n$, where $n\in\mathbb{N}$, and discussed the symmetric property for special parameters. |
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| Keywords: | minimal surface total curvature end winding order |
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