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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2020 / Volume: 69 Issue: 2

Almost contact metric and metallic Riemannian structures

Beldjilali Gherici(University of Mascara)0000-0002-8933-1548
Pages
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Publication Date
2020-12-31
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AI Summary & Key Takeaways

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

We give a concrete example to confirm this construction.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The metallic structure is a fascinating topic that continually generates new ideas.
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Key Findings & Data:In this work, new metallic manifolds are constructed starting from both almost contact metric manifolds and we obtain some important notions like the metallic deformation.
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Conclusion & Impact:We give a concrete example to confirm this construction.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Almost contact metric structure · metallic Riemannian structure · metallic deformation

Abstract

The metallic structure is a fascinating topic that continually generates new ideas. In this work, new metallic manifolds are constructed starting from both almost contact metric manifolds and we obtain some important notions like the metallic deformation. We show that there exists a correspondence between the metallic Riemannian structures and the almost contact metric structures. We give an open question where we propose the first step to study the reverse, i.e. the construction of an almost contact metric structure starting from a metallic Riemannian structure. We give a concrete example to confirm this construction.

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Cite This Article

Gherici, B. (2020). Almost contact metric and metallic Riemannian structures. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 2. https://doi.org/10.31801/cfsuasmas.647575

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