New classes of projectively related Finsler metrics of constant flag curvature

摘要

We define a Weyl-type curvature tensor of (1, 2)-type to provide a characterization for Finsler metrics of constant flag curvature. This Weyl-type curvature tensor is projective invariant only to projective factors that are Hamel functions. Based on this aspect, we construct new families of projectively related Finsler metrics that have constant flag curvature.