The Riemannian geometry of superminimal surfaces in complex space forms |
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Authors: | Shen Yibing |
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Institution: | (1) Department of Mathematics, Hangzhou University, 310028 Hangzhou, China |
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Abstract: | This paper deals with superminimal surfaces in complex space forms by using the Frenet framing. We formulate explicitly the length squares of the higher fundamental forms and the higher curvatures for superminimal surfaces in terms of the metric of the surface and the Khler angle of the immersion. Particularly, some curvature pinching theorems for minimal 2-spheres in a complex projective space are given and a new characterization of the Veronese sequence is obtained.Supported by the National Natural Science Fundation of China. |
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Keywords: | Superminimal surface Frenct frame Higher curvature function Veronese sequence |
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