Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2013; 50(6): 2089-2101

Printed November 1, 2013

https://doi.org/10.4134/BKMS.2013.50.6.2089

Copyright © The Korean Mathematical Society.

Real hypersurfaces in a non-flat complex space form with Lie recurrent structure Jacobi operator

George Kaimakamis and Konstantina Panagiotidou

Hellenic Military Academy, Aristotle University of Thessaloniki

Abstract

The aim of this paper is to introduce the notion of Lie recurrent structure Jacobi operator for real hypersurfaces in non-flat complex space forms and to study such real hypersurfaces. More precisely, the non-existence of such real hypersurfaces is proved.

Keywords: real hypersurface, structure Jacobi operator, Lie recurrent, non-flat complex space forms

MSC numbers: Primary 53C40; Secondary 53C15, 53D15