Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2016; 31(3): 647-656

Printed July 31, 2016

https://doi.org/10.4134/CKMS.c150222

Copyright © The Korean Mathematical Society.

Generalized golden shaped hypersurfaces in Lorentz space forms

Ximin Liu and Yan Zhao

Dalian University of Technology, Henan Light Industry School

Abstract

In this paper, we define the generalized golden shaped hypersurfaces in Lorentz space forms. Based on the classification of proper semi-Riemannian hypersurfaces in semi-Riemannian real space forms, we obtain the whole families of the generalized golden shaped hypersurfaces in Lorentz space forms.

Keywords: generalized golden shaped hypersurface, proper hypersurface, shape operator, principal curvature

MSC numbers: 53C40