Minimal Surfaces in a Unit Sphere |
Received:April 14, 2010 Revised:October 03, 2010 |
Key Words:
minimal surface Gauss curvature normal scalar curvature.
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Fund Project:Supported by the Fundamental Research Funds for the Central Universities. |
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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. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2012.03.09 |
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