Recherches et rapports sur les mathématiques

The Role of Finsler Geometry and its Extensions on the Structure of Gravitation and Cosmology

Stavrinos PC* and Triantafyllopoulos A

In the present work we give a short review on the recent development of applications of Finsler, Finsler-like and Finsler-Lagrange geometries. We interpret the role of Finsler geometry in physical considerations in which the local anisotropy is included in the structure of gravitation and cosmology.