General (α, β) metrics with relatively isotroic mean Landsberg curvature
Abstract
In this paper, we study a new class of Finsler metrics, F=αφ(b2,s), s:=β/α, defined by a Riemannian metric α and 1-form β. It is called general (α, β) metric. In this paper, we assume φ be coefficient by s and β be closed and conformal. We find a nessecary and sufficient condition for the metric of relatively isotropic mean Landsberg curvature to be Berwald.
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