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

Year 2021, Volume: 14 Issue: 1, 167 - 173, 15.04.2021

Laurian-loan Pıscoran , Najafi Behzad Cătălin Barbu , Tabatabaeifar Tayebeh

https://doi.org/10.36890/iejg.777149

Cited By: 2

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.

Keywords

Finsler metric, Finsler $(\alpha, \beta)$-metric, deformation of an $(\alpha, \beta)$-metric

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