| 单位球中的极小曲面 |
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| 引用本文： | 侯中华,杨丹.单位球中的极小曲面[J].数学研究及应用,2012,32(3):346-354. |
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| 作者姓名： | 侯中华 杨丹 |
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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 |
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| 基金项目： | 中央高校基础科研业务费资助. |
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| 摘 要： | Let M be a closed surface with positive Gauss curvature minimally immersed in a standard Euclidean unit sphere S~n.In this paper,we choose a local orthonormal frame field on M,under which the shape operators have very convenient form.We also give some applications of this kind of frame field.
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| 关 键 词： | minimal surface Gauss curvature normal scalar curvature. |
| 收稿时间： | 2010/4/14 0:00:00 |
| 修稿时间： | 2010/10/3 0:00:00 |
Minimal Surfaces in a Unit Sphere |
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| Zhonghua HOU and Dan YANG.Minimal Surfaces in a Unit Sphere[J].Journal of Mathematical Research with Applications,2012,32(3):346-354. |
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| Authors: | Zhonghua HOU and Dan YANG |
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| Institution: | School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China;School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China |
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| Abstract: | Let $M$ be a closed surface with positive Gauss curvature minimally immersed in a standard Euclidean unit sphere $S^{n}$. In this paper, we choose a local orthonormal frame field on $M$, under which the shape operators have very convenient form. We also give some applications of this kind of frame field. |
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| Keywords: | minimal surface Gauss curvature normal scalar curvature |
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