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http://dx.doi.org/10.4134/CKMS.2014.29.4.539

NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS ADMITTING NON-METRIC π-CONNECTIONS  

Jin, Dae Ho (Department of Mathematics Dongguk University)
Publication Information
Communications of the Korean Mathematical Society / v.29, no.4, 2014 , pp. 539-547 More about this Journal
Abstract
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;
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Times Cited By KSCI : 8  (Citation Analysis)
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