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arXiv · 1811.05019

Lightlike Submanifolds of Metallic Semi-Riemannian Manifolds

Bilal Eftal Acet·Feyza Esra Erdoğan·Selcen Yüksel Perktaş
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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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Bilal Eftal Acet, Feyza Esra Erdoğan, Selcen Yüksel Perktaş. 2018-11-09. Lightlike Submanifolds of Metallic Semi-Riemannian Manifolds. https://arxiv.org/abs/1811.05019

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