Lightlike Submanifolds of Metallic Semi-Riemannian Manifolds

2018/11/09 by Acet, Bilal Eftal, Erdoğan, Feyza Esra, Perktaş, Selcen Yüksel
#53C15 #53C25 #53C35 #FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1811.05019

Abstract

Our aim in this paper is to investigate some types of lightlike submanifolds in metallic semi-Riemannian manifolds. We study invariant and screen semi-invariant lightlike submanifolds of metallic semi-Riemannian manifolds and give examples. We obtain the conditions for the induced connection to be a metric connection. Also, we find necessary and sufficient conditions for the distributions involved in the definitions of such submanifolds to be integrable.

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