# Finsler space

From Encyclopedia of Mathematics

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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.

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A detailed description of the notion of a Finsler space can be found in Finsler space, generalized.

**How to Cite This Entry:**

Finsler space.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Finsler_space&oldid=32095

This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article