A characterization of affine spheres in R
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| Authors: | Yu Fu Zhong Hua Hou |
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| Institution: | 1. Department of Mathematics, Dalian Nationalities University, Dalian, 116600, P. R. China
2. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, P. R. China
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| Abstract: | A surface immersed in R 4 is called a proper affine sphere if the position vector belongs to the affine normal plane. We classify proper affine spheres with ??? g ??=0 whose affine mean curvature vector has constant length. Moreover, we find some concrete examples of affine spheres which are not affine umbilical. |
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