Finsler metric
From Encyclopedia of Mathematics
A metric of a space that can be given by a real positive-definite convex function 
of coordinates of 
and components of contravariant vectors 
acting at the point 
. A space supplied with a Finsler metric is called a Finsler space, and its geometry Finsler geometry.
Comments
References
| [a1] | H. Busemann, "The geometry of geodesics" , Acad. Press (1955) |
| [a2] | W. Rinow, "Die innere Geometrie der metrischen Räume" , Springer (1961) |
| [a3] | H. Rund, "The differential geometry of Finsler spaces" , Springer (1959) |
How to Cite This Entry:
Finsler metric. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Finsler_metric&oldid=32097
Finsler metric. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Finsler_metric&oldid=32097
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article