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http://dx.doi.org/10.4134/CKMS.2015.30.1.035

NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE TRANS-SASAKIAN MANIFOLDS WITH NON-METRIC 𝜃-CONNECTIONS  

Jin, Dae Ho (Department of Mathematics Dongguk University)
Publication Information
Communications of the Korean Mathematical Society / v.30, no.1, 2015 , pp. 35-43 More about this Journal
Abstract
We study two types of 1-lightlike submanifolds, so-called lightlike hypersurface and half lightlike submanifold, of an indefinite trans-Sasakian manifold $\bar{M}$ admitting non-metric ${\theta}$-connection. We prove that there exist no such two types of 1-lightlike submanifolds of an indefinite trans-Sasakian manifold $\bar{M}$ admitting non-metric ${\theta}$-connections.
Keywords
non-metric ${\theta}$-connections; lightlike hypersurface; half lightlike submanifold;
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Times Cited By KSCI : 7  (Citation Analysis)
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