Capacity and a classification of Finsler spaces

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.