A characterization of affine spheres in R4

被引：0
|
作者：
Yu Fu
Zhong Hua Hou
机构：
[1] Dalian Nationalities University,Department of Mathematics
[2] Dalian University of Technology,School of Mathematical Sciences
来源：
Acta Mathematica Hungarica | 2011年 / 131卷
关键词：
equiaffine normal bundle; affine sphere; affine mean curvature vector; 53A15;
D O I：
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学科分类号：
摘要：
A surface immersed in R4 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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页码：160 / 173
页数：13
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