Lightlike Submanifolds of a Semi-Riemannian Product Manifold with Quarter Symmetric Non-Metric Connection

Authors : Oğuzhan BAHADIR, Erol KILIÇ

Pages : 9-22

Doi:10.36890/iejg.591880

View : 53 | Download : 8

Publication Date : 2016-04-30

Article Type : Research Paper

Abstract :We study lightlike submanifolds of a semi-Riemannian product manifold. We introduce a class of lightlike submanifolds called screen semi-invariant lightlike submanifold. We consider lightlike submanifolds with respect to a quarter symmetric non-metric connection which is determined by the product structure. We give some equivalent conditions for integrability of distributions with respect to the Levi-Civita connection of semi-Riemannian manifolds and the quarter-symmetric nonmetric connection, and we obtain some results.
Keywords : Lightlike submanifolds, Product manifolds, Quarter symmetric connection

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