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(3): 1003-1022

Online first article January 4, 2017      Printed May 31, 2017

https://doi.org/10.4134/BKMS.b160439

Copyright © The Korean Mathematical Society.

Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection

Dae Ho Jin

Dongguk University

Abstract

The object of study in this paper is generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. We study the geometry of two types of generic lightlike submanifolds, which are called {\it recurrent} and {\it Lie recurrent} generic lightlike submanifolds, of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection.

Keywords: quarter-symmetric metric connection, generic lightlike submanifold, indefinite trans-Sasakian structure

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