LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS WITH QUARTER SYMMETRIC NON-METRIC CONNECTION

In this paper, we study lightlike submanifolds of indefinite Kaehlermanifolds. We introduce a class of lightlike submanifold called semi-invariantlightlike submanifold.We consider lightlike submanifold with respect to aquarter-symmetric non metric connection which is determined by the complexstructure. We give some equivalent conditions for integrability of distributionswith respect to the Levi-Civita connection of semi-Riemannian manifold andthe quarter symmetric non metric connection and some results

Keywords:

Lightlike submanifolds Indefinite Kaehler manifolds, Quartersymmetric connections,

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Department of Mathematics, Faculty of Arts and Sciences, Hitit University,19030 Corum, TURKEY
E-mail address: oguzbaha@gmail.com.tr Department of Mathematics, Faculty of Arts and Sciences, ˙In¨on¨u University, 44280 Malatya, TURKEY
E-mail address: erol.kilic@inonu.edu.tr