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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 16 Issue: 1

$\mathcal{D}$-Homothetic Deformations of Basic Classes of Almost Contact B-metric Structures

Şirin Aktay(Eskişehir Teknik Üniversitesi)0000-0003-2792-3481
Pages
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Publication Date
2024-06-30
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AI Summary & Key Takeaways

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

We give examples of deformations of almost contact manifolds with B-metric structures in three dimensions.

📌 3 Key Takeaways

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Objective & Hypothesis:We study $\mathcal{D}$-homothetic deformations of almost contact manifolds with B-metric.
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Key Findings & Data:Some basic classes are known to be invariant under these deformations.
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Conclusion & Impact:We give examples of deformations of almost contact manifolds with B-metric structures in three dimensions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Almost contact structure · B-metric · D-homothetic deformation

Abstract

We study $\mathcal{D}$-homothetic deformations of almost contact manifolds with B-metric. Some basic classes are known to be invariant under these deformations. We examine the invariance of remaining basic classes. Also we investigate $\mathcal{D}$-homothetic deformations of normal and $K$-contact structures. We give examples of deformations of almost contact manifolds with B-metric structures in three dimensions.

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Cite This Article

Aktay, Ş. (2024). $\mathcal{D}$-Homothetic Deformations of Basic Classes of Almost Contact B-metric Structures. Turkish Journal of Mathematics and Computer Science, Volume: 16 Issue: 1. https://doi.org/10.47000/tjmcs.1337614

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