Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24491120200201$(\alpha,\beta)$-Metrics with killing $\beta$ of constant length2736303810.22060/ajmc.2018.3038ENTayebehTabatabaeifarDepartment of Mathematics and Computer Science, Amirkabir University of Technology, 424, Hafez Ave., Tehran 15914, IranBehzadNajafiDepartment of Mathematics and Computer Science, Amirkabir University of Technology, 424, Hafez Ave., Tehran 15914, IranJournal Article20180309The class of $(\alpha,\beta)$-metrics is a rich and important class of Finsler metrics, which is extensively studied. Here, we study $(\alpha,\beta)$-metrics with Killing of constant length $1$-form $\beta$ and find a simplified formula for their Ricci curvatures. Then, we show that if $F=\alpha+\alpha\beta+b\frac{{\beta}^2}{\alpha}$ is an Einstein Finsler metric, then $\alpha$ is an Einstein Riemann metric.https://ajmc.aut.ac.ir/article_3038_ec3b89402c7338eacb774d68fb1a1cb0.pdf