Revista Matemática Iberoamericana
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Published online: 2014-03-23
On filling minimality of simple Finsler manifoldsHenrik Koehler (1) Ruhr-Universität Bochum, Germany
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.
Keywords: Minimal fillings, geometric inverse problems, boundary distances
Koehler Henrik: On filling minimality of simple Finsler manifolds. Rev. Mat. Iberoam. 30 (2014), 331-348. doi: 10.4171/RMI/781