%0 Journal Article
%T (α, β)-Metrics with Killing β of Constant Length
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z
%A Tabatabaeifar, Tayebeh
%A Najafi, Behzad
%D 2020
%\ 02/01/2020
%V 1
%N 1
%P 27-36
%! (α, β)-Metrics with Killing β of Constant Length
%K Finsler metric
%K (α,β)-metric
%K Einstein manifold
%R 10.22060/ajmc.2018.3038
%X The 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, weshow that if F=α+β+bfrac{β^2}{α} is an Einstein Finsler metric, then α is an Einstein Riemann metric.
%U https://ajmc.aut.ac.ir/article_3038_ec3b89402c7338eacb774d68fb1a1cb0.pdf