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

Year 2014, Volume: 2 Issue: 2, 89 - 104, 01.12.2014

OĞUZHAN Bahadır EROLKILIÇ

https://izlik.org/JA25SC27GK

Abstract

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: [e-mail] Department of Mathematics, Faculty of Arts and Sciences, ˙In¨on¨u University, 44280 Malatya, TURKEY
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