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

Document Type: Regular Paper

Authors

1 Department of Mathematics and Computer Science, University of Qom, Qom, Iran

2 Department of Mathematics and Computer Science, Arak University, Arak 38156-8-8349, Iran

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.

Keywords