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 Lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric $\phi$-symmetric connection Bull. Korean Math. Soc. 2017 Vol. 54, No. 2, 619-632 https://doi.org/10.4134/BKMS.b160227Published online March 31, 2017 Dae Ho Jin Dongguk University Abstract : We define a new connection on semi-Riemannian manifold, which is called a {\it non-metric $\phi$-symmetric connection}. Semi-symmetric non-metric connection and quarter-symmetric non-metric connection are two impotent examples of this connection. The purpose of this paper is to study the geometry of lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric $\phi$-symmetric connection. Keywords : non-metric $\phi$-symmetric connection, lightlike hypersurface, recurrent and Lie-recurrent hypersurfaces MSC numbers : Primary 53C25, 53C40, 53C50 Downloads: Full-text PDF