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A Class of Special Hypersurfaces in Real Space Forms

Release Time:2019-03-13  Hits:

Indexed by: Journal Article

Date of Publication: 2016-01-01

Journal: JOURNAL OF FUNCTION SPACES

Included Journals: SCIE

ISSN: 2314-8896

Abstract: 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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