Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2019; 34(2): 615-632

Online first article September 18, 2018      Printed April 30, 2019

https://doi.org/10.4134/CKMS.c180128

Copyright © The Korean Mathematical Society.

Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with an $(\ell, m)$-type metric connection

Dae Ho Jin

Dongguk University

Abstract

We study generic lightlike submanifolds $M$ of an indefinite trans-Sasakian manifold $\bar{M}$ or an indefinite generalized Sasakian space form $\bar{M}(f_1, f_2, f_3)$ endowed with an $(\ell, m)$-type metric connection subject such that the structure vector field $\zeta$ of $\bar{M}$ is tangent to $M$.

Keywords: $(\ell, m)$-type metric connection, generic lightlike submanifold, indefinite trans-Sasakian structure

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