Transversal lightlike submanifolds of metallic semi-Riemannian manifolds

Authors : Feyza Esra Erdoğan

Pages : 3133-3148

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Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :The main purpose of the present paper is to study the geometry of transversal lightlike submanifolds and radical transversal lightlike submanifolds of metallic semi-Riemannian manifolds. We investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these manifolds to be a metric connection. We also obtain characterization of transversal lightlike submanifolds of metallic semi-Riemannian manifolds. Finally, we give two examples.
Keywords : Metallic structure, metallic semi-Riemannian manifold, lightlike submanifolds, transversal lightlike submanifolds, radical transversal submanifolds