Locally symmetric half lightlike submanifolds in an indefinite Kenmotsu manifold
Commun. Korean Math. Soc. 2012 Vol. 27, No. 3, 583-589
https://doi.org/10.4134/CKMS.2012.27.3.583
Printed September 1, 2012
Dae Ho Jin
Dongguk University
Abstract : In this paper, we study locally symmetric half lightlike submanifolds $M$ of an indefinite Kenmotsu manifold $\bar{M}$ subject to the conditions: (1) The transversal vector bundle $tr(TM)$ is parallel with respect to the connection $\bar{\nabla}$ of $\bar{M}$ and (2) $M$ is irrotational.
Keywords : locally symmetric, irrotational, half lightlike submanifolds, indefinite Kenmotsu manifold
MSC numbers : Primary 53C25, 53C40, 53C50
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