Communications of the
Korean Mathematical Society
CKMS

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

Article

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Commun. Korean Math. Soc. 2017; 32(1): 119-133

Online first article September 29, 2016      Printed January 31, 2017

https://doi.org/10.4134/CKMS.c160009

Copyright © The Korean Mathematical Society.

Half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection

Dae Ho Jin

Dongguk University

Abstract

In this paper, we study half lightlike submanifolds of an indefinite Kaehler manifold with a semi-symmetric non-metric connection. First, we characterize the geometry of two types of half lightlike submanifolds of such an indefinite Kaehler manifold. Next, we investigate the geometry of half lightlike submanifolds of an indefinite complex space form with a semi-symmetric non-metric connection.

Keywords: semi-symmetric non-metric connection, recurrent, Lie recurrent, half lightlike submanifold

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