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

Iranian Journal of Science
Volume 32, Issue 1 - Serial Number 1
January and February 2008
Pages 17-24

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