%0 Journal Article
%T Invariant vector field on a homogeneous Finsler space with special (α,β)-metric
%J Journal of Finsler Geometry and its Applications
%I University of Mohaghegh Ardabili
%Z 2783-0500
%A Ebrahimi, Mahnaz
%D 2020
%\ 12/01/2020
%V 1
%N 2
%P 1-14
%! Invariant vector field on a homogeneous Finsler space with special (α,β)-metric
%K Homogeneous Finsler space
%K L-metric
%K invariant vector field
%K hypercomplex man- ifold
%K Geodesic vector
%R 10.22098/jfga.2020.1235
%X In a Finsler spaces, we consider a special (α,β)-metric L satisfying L2(α,β) =c1 α 2 +2c2 αβ+c3β2, where ci are constant. In this paper, the existence of invariant vectorelds on a special homogeneous (α,β)-space with L metric is proved. Then we study geodesicvectors and investigate the set of all homogeneous geodesics of invariant (α,β)-metric L onhomogeneous spaces and simply connected 4-dimensional real Lie groups admitting invarianthypercomplex structure.
%U https://jfga.uma.ac.ir/article_1235_9d2d00e444a73400bb44984776920e33.pdf