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

Year 2016, , 9 - 22, 30.04.2016

Oğuzhan Bahadır , Erol Kılıç

https://doi.org/10.36890/iejg.591880

Cited By: 4

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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