Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2014; 51(2): 311-323

Printed March 1, 2014

https://doi.org/10.4134/JKMS.2014.51.2.311

Copyright © The Korean Mathematical Society.

Non-tangential half lightlike submanifolds of semi-Riemannian manifolds with semi-symmetric non-metric connections

Dae Ho Jin

Dongguk University

Abstract

In this paper, we construct two types ofnon-tangential half lightlike submanifolds of a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. Our main result is to prove several characterization theorems for each types of such half lightlike submanifolds equipped with totally geodesic screen distributions.

Keywords: half lightlike submanifold, semi-Riemannian manifold with a semi-symmetric non-metric connection, totally geodesic screen distribution

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

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