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J. Korean Math. Soc. 2017; 54(1): 101-115

Online first article October 14, 2016      Printed January 1, 2017

https://doi.org/10.4134/JKMS.j150601

Copyright © The Korean Mathematical Society.

Lightlike hypersurfaces of an indefinite Kaehler manifold with a semi-symmetric non-metric connection

Dae Ho Jin

Dongguk University

Abstract

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In this paper, we study three types of lightlike hypersurfaces, which are called {\it recurrent}, {\it Lie recurrent} and {\it Hopf} lightlike hypersurfaces, of an indefinite Kaehler manifold with a semi-symmetric non-metric connection. We provide several new results on such three types of lightlike hypersurfaces of an indefinite Kaehler manifold or an indefinite complex space form, with a semi-symmetric non-metric connection.

Keywords: semi-symmetric non-metric connection, recurrent, Lie recurrent, Hopf lightlike hypersurface

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

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