Capacity and a classification of Finsler spaces

Document Type: Regular Paper


1 Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave 15914 Tehran, Iran

2 Faculty of Mathematics and Computer Sciences, Shahid Chamran University of Ahvaz, P.O. Box: 61355-83151, Ahvaz, Iran


Using the electrostatic capacity of a condenser, the existence of a distance function on a Finsler space is discussed. This distance function divides Finsler spaces into the two classes, denoted here by I and II. The topology generated by this distance on the Finsler spaces of class II coincides with its intrinsic topology. This work provides a natural extension of mathematical analysis tools needed for developing some prominent features of differential geometry in the large.