Half lightlike submanifolds of an indefinite trans-Sasakian manifold
Bull. Korean Math. Soc. 2014 Vol. 51, No. 4, 979-994
https://doi.org/10.4134/BKMS.2014.51.4.979
Published online July 31, 2014
Dae Ho Jin
Dongguk University
Abstract : We study half lightlike submanifold $M$ of an indefinite trans-Sasakian manifold such that its structure vector field is tangent to $M$. First we study the general theory for such half lightlike submanifolds. Next we prove some characterization theorems for half lightlike submanifolds of an indefinite generalized Sasakian space form.
Keywords : indefinite trans-Sasakian manifold, half lightlike submanifold, screen conformal, totally umbilical, screen totally umbilical
MSC numbers : Primary 53C25, 53C40, 53C50
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