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On Characterizations of Real Hypersurfaces in a Complex Space Form with η-Parallel Shape Operator

Published online by Cambridge University Press:  20 November 2018

S. H. Kon  and
Tee-How Loo
S. H. Kon
Affiliation:
Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia e-mail: [email protected]@um.edu.my
Tee-How Loo
Affiliation:
Institute of Mathematical Sciences, University of Malaya, 50603 Kuala Lumpur, Malaysia e-mail: [email protected]@um.edu.my
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Abstract

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In this paper we study real hypersurfaces in a non-flat complex space form with $\eta $-parallel shape operator. Several partial characterizations of these real hypersurfaces are obtained.

Keywords

53C4053C15complex space formHopf hypersurfacesruled real hypersurfacesη-parallel shape operator
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 55 , Issue 1 , 01 March 2012 , pp. 114 - 126
Copyright
Copyright © Canadian Mathematical Society 2012

References

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