On a class of locally dually flat Finsler metrics with isotropic S-curvature

Abstract

Dually flat Finsler metrics form a special and valuable class of Finsler metrics in Finsler information geometry, which play a very important role in studying flat Finsler information structure. In this paper, we prove that every locally dually flat generalized Randers metric with isotropic S-curvature is locally Minkowskian.