General $(\alpha ,\beta )$ metrics with relatively isotroic mean Landsberg curvature

Abstract

In this paper, we study a new class of Finsler metrics, F=αϕ(b^2,s), s:=β/α, defined by a Riemannian metric αand 1-form β. It is called general (α, β) metric. In this paper, we assume ϕbe coefficient by s and βbe closed and conformal. We find a nessecary and sufficient condition for the metric of relatively isotropic mean Landsberg curvature to be Berwald.