Bulletin of the
Korean Mathematical Society
BKMS

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

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2017; 54(2): 619-632

Online first article November 3, 2016      Printed March 31, 2017

https://doi.org/10.4134/BKMS.b160227

Copyright © The Korean Mathematical Society.

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

Dae Ho Jin

Dongguk University

Abstract

We define a new connection on semi-Riemannian manifold, which is called a {\it non-metric $\phi$-symmetric connection}. Semi-symmetric non-metric connection and quarter-symmetric non-metric connection are two impotent examples of this connection. The purpose of this paper is to study the geometry of lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric $\phi$-symmetric connection.

Keywords: non-metric $\phi$-symmetric connection, lightlike hypersurface, recurrent and Lie-recurrent hypersurfaces

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