- Mathematical Sciences and Applications E-Notes
- Vol: 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 : 10 | Download : 3
Publication Date : 2014-12-01
Article Type : Other
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 resultsKeywords : Lightlike submanifolds, Indefinite Kaehler manifolds, Quartersymmetric connections