On filling minimality of simple Finsler manifolds

Mathematics – Metric Geometry

Scientific paper

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19 pages. v3 is a revised and extended version, containing an additional section on the analysis of the two-form, that is indu

Scientific paper

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
boundary distances and their derivatives. An application is a preconditioned
filling minimality result.

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