A generalization of a Riemannian space. It is a space in small regions of which the Minkowski geometry approximately holds. A Finsler space is essentially the same as a Finsler manifold, that is, a differentiable manifold supplied with a Finsler metric.
A detailed description of the notion of a Finsler space can be found in Finsler space, generalized.
Finsler space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Finsler_space&oldid=32095