- International Electronic Journal of Geometry
- Vol: 14 Issue: 1
- The Deformation of an $(\alpha, \beta)$-Metric
The Deformation of an $(\alpha, \beta)$-Metric
Authors : Laurian-loan Piscoran, Najafi Behzad, Cătălin Barbu, Tabatabaeifar Tayebeh
Pages : 167-173
Doi:10.36890/iejg.777149
View : 5 | Download : 4
Publication Date : 2021-04-15
Article Type : Research
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 $(alpha, eta)$-metric, deformation of an $(alpha, eta)$-metric