1. The Deformation of an $(\alpha, \beta)$-Metric
- Author
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Tabatabaeifar Tayebeh, Catalin Barbu, Laurian-Ioan Pişcoran, and Najafi Behzad
- Subjects
Physics ,Matematik ,Finsler metric,Finsler $(\alpha,\beta)$-metric,deformation of an $(\alpha,\beta)$-metric ,Applied Mathematics ,Metric (mathematics) ,Alpha (ethology) ,Geometry and Topology ,Deformation (meteorology) ,Beta (finance) ,Mathematics ,Mathematical Physics ,Mathematical physics - 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.
- Published
- 2021