arXiv subjects
Publications and source records attributed to A. Ala.
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.
In this paper, we study general $(α,β)$-metrics which $α$ is a Riemannian metric and $β$ is an one-form. We have proven that every weak Landsberg general $(α,β)$-metric is a Berwald metric, where $β$ is a closed and conformal one-form. This show that there exist no generalized unicorn metric in this class of general $(α,β)$-metric. Further, We show that $F$ is a Landsberg general $(α,β)$-metric if and only if it is weak Landsberg general $(α,β)$-metric, where $β$ is a closed and conformal one-form.