%0 Journal Article
%T On semi C-reducible Finsler spaces
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Heydari, Abbas
%D 2020
%\ 12/01/2020
%V 1
%N 2
%P 130-142
%! On semi C-reducible Finsler spaces
%K P-reducible space
%K 3-dimensional Finsler space
%K weakly Landsberg metric
%R 10.22098/jfga.2020.1246
%X In this paper, we study the class of semi-C-reducible Finsler manifolds. Under a condition, we prove that every semi-C-reducible Finsler spaces with a semi-P-reducible metric has constant characteristic scalar along Finslerian geodesics or reduces to a Landsberg metric. By this fact, we characterize the class of semi-P-reducible spaces equipped with an (α, β)-metric. More precisely, we proved that such metrics are Berwaldian B= 0,or have vanishing S-curvature S= 0 or satisfy a well-known ODE. This yields an extension of Tayebi-Najafi’s classification for 3-dimensional (α, β)-metric of Landsberg-type.
%U https://jfga.uma.ac.ir/article_1246_ab56439a0afbfde0c3c80bf897a6623a.pdf