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 everylocally dually flat generalized randers metric with isotropic s-curvature is locally minkowskian.

In this paper, as an application of the inverse problem calculus variations, we investigate two compatibility conditions on spherically symmetric Finsler metrics. By making use these conditions, focus our attention Landsberg We classify all manifolds or Berwald types. For higher dimensions $n\geq 3$, prove that: are either Riemannian their geodesic sprays have a specific formula; regular metric...

Any Riemannian manifold has a canonical collection of valuations (finitely additive measures) attached to it, known as the intrinsic volumes or Lipschitz–Killing valuations. They date back remarkable discovery H. Weyl that coefficients tube volume polynomial are invariants metric. As consequence, behave naturally under isometric immersions. This phenomenon, subsequently observed in number diffe...

In this paper, applying the concept of generalized A-valued norm on a right $H^*$-module and also the notion of ϕ-homomorphism of Finsler modules over $C^*$-algebras we first improve the definition of the Finsler module over $H^*$-algebra and then define ϕ-morphism of Finsler modules over $H^*$-algebras. Finally we present some results concerning these new ones.