A Class of Special Hypersurfaces in Real Space Forms

作者:Zhao, Yan*; Liu, Ximin
来源:Journal of Function Spaces, 2016, 2016: 8796938.
DOI:10.1155/2016/8796938

摘要

We define the generalized golden- and product-shaped hypersurfaces in real space forms. A hypersurface M in real space forms Rn+1, Sn+1, and Hn+1 is isoparametric if it has constant principal curvatures. Based on the classification of isoparametric hypersurfaces, we obtain the whole families of the generalized golden- and product-shaped hypersurfaces in real space forms.

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