CAPACITY ON FINSLER SPACES

Document Type: Regular Paper

Authors

1 Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, 424 Hafez Ave, 15914 Tehran, I. R. of Iran

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

Abstract

Here, the concept of electric capacity on Finsler spaces is introduced and the fundamental
conformal invariant property is proved, i.e. the capacity of a compact set on a connected non-compact Finsler
manifold is conformal invariant. This work enables mathematicians and theoretical physicists to become more
familiar with the global Finsler geometry and one of its new applications.

Keywords