Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2016; 53(6): 1771-1783

Online first article September 20, 2016      Printed November 30, 2016

https://doi.org/10.4134/BKMS.b150972

Copyright © The Korean Mathematical Society.

Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a non-metric $\phi$-symmetric connection

Dae Ho Jin

Dongguk University

Abstract

We study lightlike hypersurfaces $M$ of an indefinite trans-Sasakian manifold $\bar{M}$ with a non-metric $\phi$-symmetric connection. We characterize the geometry of lightlike hypersurfaces of such a $\bar{M}$.

Keywords: non-metric $\phi$-symmetric connection, lightlike hypersurface, indefinite trans-Sasakian manifold

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