Journals / Turkish Journal of Mathematics / 2018 / Cilt: 42 - Sayı: 6

Transversal lightlike submanifolds of metallic semi-Riemannian manifolds

Pages
3133–3148
Publication Date
2018-12-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we give two examples.

📌 3 Key Takeaways

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Objective & Hypothesis: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.
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Key Findings & Data:We investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these manifolds to be a metric connection.
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Conclusion & Impact:Finally, we give two examples.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Metallic structure · metallic semi-Riemannian manifold · lightlike submanifolds

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.

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Cite This Article

ERDOĞAN, F. E. (2018). Transversal lightlike submanifolds of metallic semi-Riemannian manifolds. Turkish Journal of Mathematics, Cilt: 42 - Sayı: 6, 3133–3148. https://ajindex.com/articles/227825

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