Locally dually flat Finsler metrics with special curvature properties (Q719825)

Locally dual flat Finsler metrics were introduced by Z. Shen in Finslerian information geometry, and the present paper is a survey on this very interesting subject. Only two results appear with proofs, namely Theorem 2.2 which generalizes the well-known fact that the Funk metric on the unit disk has constant flag curvature \(K=-\frac{1}{4}\) and Proposition 4.1 that studies locally projective flat Randers metrics.