Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2018; 55(2): 515-531

Online first article January 5, 2018      Printed March 30, 2018

https://doi.org/10.4134/BKMS.b170093

Copyright © The Korean Mathematical Society.

Generic lightlike submanifolds of an indefinite Kaehler manifold with a quarter-symmetric metric connection

Dae Ho Jin

Dongguk University

Abstract

Jin studied lightlike hypersurfaces of an indefinite Kaehler manifold \cite{Jin3, Jin5} or indefinite trans-Sasakian manifold \cite{Jin4} with a quarter-symmetric metric connection. Jin also studied generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection \cite{Jin7}. We study generic lightlike submanifolds of an indefinite Kaehler manifold with a quarter-symmetric metric connection.

Keywords: quarter-symmetric metric connection, generic lightlike submanifold, indefinite Kaehler structure

MSC numbers: Primary 53C25, 53C40, 53C50