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Journals / Istanbul Journal of Mathematics / 2025 / Volume: 3 Issue: 2

Concircularly and Conharmonically Flat Warped-Twisted Product Manifolds with Applications

Sibel Gerdan Aydın(ISTANBUL UNIVERSITY)0000-0001-5278-6066
Pages
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Publication Date
2025-12-16
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AI Summary & Key Takeaways

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

Finally, we prove that one of the factor manifolds of these spacetimes is gradient almost 𝜁-Yamabe soliton.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we investigate warped-twisted product manifolds that are both concircularly flat and conharmonically flat.
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Key Findings & Data:We examine the structure of their factor manifolds under these curvature conditions.
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Conclusion & Impact:Finally, we prove that one of the factor manifolds of these spacetimes is gradient almost 𝜁-Yamabe soliton.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Warped product · twisted product · concircularly flat manifold

Abstract

In this paper, we investigate warped-twisted product manifolds that are both concircularly flat and conharmonically flat. We examine the structure of their factor manifolds under these curvature conditions. Then we characterize the factor manifolds of a warped-twisted product manifold in terms of Ricci soliton and Yamabe soliton structures. Moreover, we introduce the notions of a warped-twisted generalized Robertson-Walker spacetime and a warped-twisted standard static spacetime. We also provide some applications for concircularly flat warped-twisted product manifolds that admit these spacetime metric structures. Finally, we prove that one of the factor manifolds of these spacetimes is gradient almost 𝜁-Yamabe soliton.

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Cite This Article

Aydın, S. G. (2025). Concircularly and Conharmonically Flat Warped-Twisted Product Manifolds with Applications. Istanbul Journal of Mathematics, Volume: 3 Issue: 2. https://doi.org/10.26650/ijmath.2025.00029

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