On the Structure of Locally Regular Finsler s-Manifolds

In this paper, we prove that every connected locally regular Finsler s-manifold is homogeneous, and that covering spaces inherit a unique compatible s-structure. Moreover, we provide new examples of locally regular Finsler s-manifolds that are not Riemannian, and we briefly discuss curvature properties using the Chern connection.

کلیدواژه ها:

locally regular Finsler s-manifold ، homogeneity ، covering space ، Berwald space ، Chern connection