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Journals / Fundamentals of Contemporary Mathematical Sciences / 2026 / Volume: 6 Issue: 1

Some Results on Almost Contact Manifolds with B-Metric

Nilüfer Özdemir(Eskişehir Teknik Üniversitesi Fen Fakültesi Matematik Bölümü)0000-0003-0507-2444
Elanur Eren(ESKİŞEHİR TEKNİK ÜNİVERSİTESİ, FEN FAKÜLTESİ, MATEMATİK BÖLÜMÜ)0009-0001-4366-5315
Pages
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Publication Date
2025-01-31
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AI Summary & Key Takeaways

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

The relations between two classes of almost contact manifolds with B-metric (the classes F_4 and F_5 ) and classes of almost complex manifolds with a Norden metric are investigated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, almost contact B-metric manifolds and almost complex manifolds with Norden metric are considered.
📊
Key Findings & Data:Almost complex manifolds with a Norden metric are obtained by the product of almost contact B-metric manifolds with R, where almost complex structure and metric on the product manifold depend on two functions of R.
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Conclusion & Impact:The relations between two classes of almost contact manifolds with B-metric (the classes F_4 and F_5 ) and classes of almost complex manifolds with a Norden metric are investigated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Almost complex manifold with a Norden metric · almost contact manifold · almost contact manifold with B-metric

Abstract

In this work, almost contact B-metric manifolds and almost complex manifolds with Norden metric are considered. Almost complex manifolds with a Norden metric are obtained by the product of almost contact B-metric manifolds with R, where almost complex structure and metric on the product manifold depend on two functions of R. The relations between two classes of almost contact manifolds with B-metric (the classes F_4 and F_5 ) and classes of almost complex manifolds with a Norden metric are investigated.

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Cite This Article

Özdemir, N., Eren, E. (2025). Some Results on Almost Contact Manifolds with B-Metric. Fundamentals of Contemporary Mathematical Sciences, Volume: 6 Issue: 1. https://doi.org/10.54974/fcmathsci.1581680

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