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Journals / Istanbul Journal of Mathematics / 2023 / Volume: 1 Issue: 2

𝜁 (Ric)-vector fields on doubly warped product manifolds

Sibel Gerdan Aydın(Istanbul University, Faculty of Science, Department of Mathematics)0000-0001-5278-6066
Moctar Traore(Istanbul University, Faculty of Science, Department of Mathematics)0000-0003-2132-789X
Hakan Mete Taştan(Istanbul University, Faculty of Science, Department of Mathematics)0000-0002-0773-9305
Pages
—
Publication Date
2023-12-17
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AI Summary & Key Takeaways

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

Moreover we give two important applications of this concept in the Lorentzian settings, which are the doubly warped product generalized Robertson-Walker space-time and doubly warped product standard static space-time.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We investigate 𝜁 (Ric)-vector fields on doubly warped product manifolds.
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Key Findings & Data:We obtain some results when the vector field is also 𝜁 (Ric) on factor manifolds.We prove that if a vector field is a 𝜁 (Ric)-vector field on a doubly warped product manifold, it is also a 𝜁 (Ric)-vector field on the factor manifolds under certain conditions.
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Conclusion & Impact:Moreover we give two important applications of this concept in the Lorentzian settings, which are the doubly warped product generalized Robertson-Walker space-time and doubly warped product standard static space-time.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:𝜁(Ric)-vector field · warped product manifold · standard static space-times

Abstract

We investigate 𝜁 (Ric)-vector fields on doubly warped product manifolds. We obtain some results when the vector field is also 𝜁 (Ric) on factor manifolds.We prove that if a vector field is a 𝜁 (Ric)-vector field on a doubly warped product manifold, it is also a 𝜁 (Ric)-vector field on the factor manifolds under certain conditions. Also, we show that a vector field on a doubly warped product manifold can be a 𝜁 (Ric)-vector field with some conditions. Moreover we give two important applications of this concept in the Lorentzian settings, which are the doubly warped product generalized Robertson-Walker space-time and doubly warped product standard static space-time.

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Cite This Article

Aydın, S. G., Traore, M., Taştan, H. M. (2023). 𝜁 (Ric)-vector fields on doubly warped product manifolds. Istanbul Journal of Mathematics, Volume: 1 Issue: 2. https://doi.org/10.26650/ijmath.2023.00008

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