A Class of Special Hypersurfaces in Real Space Forms

A Class of Special Hypersurfaces in Real Space Forms

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

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Veröffentlicht in:Journal of function spaces 2016-01, Vol.2016 (2016), p.1-6
Hauptverfasser: Zhao, Yan, Liu, Ximin
Format: Artikel
Sprache:eng
Schlagworte:
Classification
Constants
Curvature
Eigenvalues
Function space
Geometry
Mathematical analysis
Mathematical research
Space and time
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Zusammenfassung:We define the generalized golden- and product-shaped hypersurfaces in real space forms. A hypersurface M in real space forms R n + 1 , S n + 1 , and H n + 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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2016/8796938