%0 Journal Article
%T A new non-Riemannian curvature related to the class of (α, β)-metrics
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Haji-Badali, Ali
%A Majidi, Jila
%D 2021
%\ 12/01/2021
%V 2
%N 2
%P 43-53
%! A new non-Riemannian curvature related to the class of (α, β)-metrics
%K Hopf maximum principle
%K Elliptic operator
%K (α, β)-metrics
%K S-curvature
%R 10.22098/jfga.2021.1367
%X In this paper, we find a new non-Riemannian quantity for (α, β)-metrics that is closely related to the S-curvature. We call it the S˜-curvature. Then, we show that an (α, β)-metric is Riemannian if and only if S˜=0. For a Randers metric, we find the relation between S-curvature and S∼-curvature.
%U https://jfga.uma.ac.ir/article_1367_3fdf77d736de3095a1b3fa304588b54d.pdf