The equality of capacity and modulus of condenser in Sub-Finsler space

TL;DR

This paper proves that in Sub-Finsler spaces, the capacity of a condenser is equal to the modulus of the family of curves connecting its plates, establishing a fundamental geometric-analytic relationship.

Contribution

It establishes the equality of condenser capacity and modulus of curve families specifically within Sub-Finsler spaces, extending classical results to this geometric setting.

Findings

Capacity equals modulus in Sub-Finsler spaces

Extends classical potential theory results

Provides a new geometric-analytic relationship

Abstract

In this article it is proved the equality of condenser capacity and modulus of family of curves joining the plates of condenser in Sub-Finsler spaces