Difference between revisions of "Finsler space"
From Encyclopedia of Mathematics
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A generalization of a [[Riemannian space|Riemannian space]]. It is a space in small regions of which the [[Minkowski geometry|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|Finsler metric]]. | A generalization of a [[Riemannian space|Riemannian space]]. It is a space in small regions of which the [[Minkowski geometry|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|Finsler metric]]. | ||
Latest revision as of 16:17, 1 May 2014
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.
Comments
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
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