Minimal Surfaces in a Unit Sphere
Received:April 14, 2010  Revised:October 03, 2010
Key Words: minimal surface   Gauss curvature   normal scalar curvature.  
Fund Project:Supported by the Fundamental Research Funds for the Central Universities.
Author NameAffiliation
Zhonghua HOU School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China 
Dan YANG School of Mathematical Science, Dalian University of Technology, Liaoning 116024, P. R. China 
Hits: 3184
Download times: 3240
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
View Full Text  View/Add Comment