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Commun. Korean Math. Soc. 2014; 29(4): 539-547
Printed October 1, 2014
https://doi.org/10.4134/CKMS.2014.29.4.539
Copyright © The Korean Mathematical Society.
Non-existence of lightlike submanifolds of indefinite Kaehler manifolds admitting non-metric $\pi$-connections
Dae Ho Jin
Dongguk University
In this paper, we study two types $1$-lightlike submanifolds $M$, so called lightlike hypersurface and half lightlike submanifold, of an indefinite Kaehler manifold $\bar{M}$ admitting non-metric $\pi$-connection. We prove that there exist no such two types $1$-lightlike submanifolds of an indefinite Kaehler manifold $\bar{M}$ admitting non-metric $\pi$-connections.
Keywords: non-metric $\pi$-connection, lightlike hypersurface, half lightlike submanifold
MSC numbers: Primary 53C25, 53C40, 53C50
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