Lightlike Submanifolds of Metallic Semi-Riemannian Manifolds

Selcen Yüksel Perktaş, Feyza Esra Erdoğan, Bilal Eftal Acet

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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