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Commun. Korean Math. Soc. 2014; 29(3): 451-461
Printed July 1, 2014
https://doi.org/10.4134/CKMS.2014.29.3.451
Copyright © The Korean Mathematical Society.
Indefinite trans-Sasakian manifold admitting an ascreen half lightlike submanifold
Dae Ho Jin
Dongguk University
We study the geometry of indefinite trans-Sasakian manifold $\bar{M}$, of type $(\alpha, \beta)$, admitting a half lightlike submanifold $M$ such that the structure vector field of $\bar{M}$ does not belong to the screen and coscreen distributions of $M$. The purpose of this paper is to prove several classification theorems of such an indefinite trans-Sasakian manifold.
Keywords: indefinite generalized Sasakian space form, indefinite trans-Sasakian manifold, half lightlike submanifold
MSC numbers: Primary 53C25, 53C40, 53C50
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