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Journals / International Electronic Journal of Geometry / 2026 / Volume: 14 Issue: 1

The Deformation of an $(\alpha, \beta)$-Metric

Laurian-loan Pıscoran(Technical University of Cluj Napoca)
Najafi Behzad(Amirkabir University)0000-0003-2788-3360
Cătălin Barbu("Vasile Alecsandri" National College)0000-0002-2094-1938
Tabatabaeifar Tayebeh(Amirkabir University)0000-0002-5334-0135
Pages
—
Publication Date
2021-04-15
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AI Summary & Key Takeaways

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

We will investigate the deformation of this metric, and we will investigate its properties.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we will continue our investigation on the new recently introduced $(\alpha, \beta)$-metric $F=\beta+\frac{a\alpha^{2}+\beta^{2}}{\alpha}$ in \cite{Pis}; where $\alpha$ is a Riemannian metric; $\beta$ is a 1-form, and $a\in \left(\frac{1}{4},+\infty\right)$ is a real positive scalar.
📊
Key Findings & Data:In this paper, we will continue our investigation on the new recently introduced $(\alpha, \beta)$-metric $F=\beta+\frac{a\alpha^{2}+\beta^{2}}{\alpha}$ in \cite{Pis}; where $\alpha$ is a Riemannian metric; $\beta$ is a 1-form, and $a\in \left(\frac{1}{4},+\infty\right)$ is a real positive scalar.
💡
Conclusion & Impact:We will investigate the deformation of this metric, and we will investigate its properties.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Finsler metric · Finsler $(\alpha · \beta)$-metric

Abstract

In this paper, we will continue our investigation on the new recently introduced $(\alpha, \beta)$-metric $F=\beta+\frac{a\alpha^{2}+\beta^{2}}{\alpha}$ in \cite{Pis}; where $\alpha$ is a Riemannian metric; $\beta$ is a 1-form, and $a\in \left(\frac{1}{4},+\infty\right)$ is a real positive scalar. We will investigate the deformation of this metric, and we will investigate its properties.

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Cite This Article

Pıscoran, L., Behzad, N., Barbu, C., Tayebeh, T. (2021). The Deformation of an $(\alpha, \beta)$-Metric. International Electronic Journal of Geometry, Volume: 14 Issue: 1. https://doi.org/10.36890/iejg.777149

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