This paper states a formula for the difference of the Holmes–Thompson volumes of two simple Finsler manifolds of arbitrary dimension, in terms of the difference of the boundary distances and their derivatives. An application is a conditioned result on filling minimality.
Cite this article
Henrik Koehler, On filling minimality of simple Finsler manifolds. Rev. Mat. Iberoam. 30 (2014), no. 1, pp. 331–348DOI 10.4171/RMI/781