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.
Dae Ho Jin
Dongguk University
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
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