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

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Mathematical Sciences and Applications E-Notes
Volume:2 Issue:2
LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS WITH QUARTER SYMMETRIC NON-METRIC CONNECTION

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

Authors : OĞUZHAN BAHADIR, EROLKILIÇ

Pages : 89-104

Doi:10.36753/mathenot.207625

View : 51 | Download : 9

Publication Date : 2014-12-01

Article Type : Research Paper

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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