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论文类型：期刊论文

发表时间：2011-04-01

发表刊物：ACTA MATHEMATICA HUNGARICA

收录刊物：Scopus、SCIE

卷号：131

期号：1-2

页面范围：160-173

ISSN号：0236-5294

关键字：equiaffine normal bundle; affine sphere; affine mean curvature vector

摘要：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 a double dagger(aSyen) g (aSyen)=0 whose affine mean curvature vector has constant length. Moreover, we find some concrete examples of affine spheres which are not affine umbilical.