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

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International Electronic Journal of Geometry
Volume:14 Issue:1
The Deformation of an $(alpha, beta)$-Metric

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

Authors : Laurianloan PISCORAN, Najafi BEHZAD, Cătălin BARBU, Tabatabaeifar TAYEBEH

Pages : 167-173

Doi:10.36890/iejg.777149

View : 40 | Download : 11

Publication Date : 2021-04-15

Article Type : Research Paper

Abstract :In this paper, we will continue our investigation on the new recently introduced $insert ignore into journalissuearticles values(\alpha, \beta);$-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 $a\in \leftinsert ignore into journalissuearticles values(\frac{1}{4},+\infty\right);$ 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

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