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Lightlike submanifolds of metallic semi-Riemannian manifolds

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Our aim in this paper is to investigate some special types of lightlike submanifolds in metallic semi-Riemannian manifolds. We study invariant lightlike submanifolds and screen semi-invariant lightlike hypersurfaces of metallic semi-Riemannian manifolds and give examples. We obtain some conditions for the induced connection to be a metric connection and present integrability conditions for the distributions involved in the definitions of such types.
Title: Lightlike submanifolds of metallic semi-Riemannian manifolds
Description:
Our aim in this paper is to investigate some special types of lightlike submanifolds in metallic semi-Riemannian manifolds.
We study invariant lightlike submanifolds and screen semi-invariant lightlike hypersurfaces of metallic semi-Riemannian manifolds and give examples.
We obtain some conditions for the induced connection to be a metric connection and present integrability conditions for the distributions involved in the definitions of such types.

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