Amirkabir University of TechnologyAUT Journal of Mathematics and Computing1120200201(α, β)-Metrics with Killing β of Constant Length2736303810.22060/ajmc.2018.3038ENTayebehTabatabaeifarAmirkabir universityBehzadNajafiDepartment of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic)Journal Article20180309The class of (α,β)-metrics is a rich and important class of Finsler metrics, which is extensively studied. Here, we study (α,β)-metrics with Killing of constant length 1-form β and find a simplified formula for their Ricci curvatures. Then, we<br />show that if F=α+β+bfrac{β^2}{α} is an Einstein Finsler metric, then α is an Einstein Riemann metric.https://ajmc.aut.ac.ir/article_3038_ec3b89402c7338eacb774d68fb1a1cb0.pdf