Improvement and generalization of Papasoglu's lemma

Simon Allais (1)

1 UMPA-ENSL - Unité de Mathématiques Pures et Appliquées

We improve an isoperimetric inequality due to Panos Papasoglu. We also generalize this inequality to the Finsler case by proving an optimal Finsler version of the Besicovitch's lemma which holds for any notion of Finsler volume.

Domains: Mathematics [math]

Simon Allais. Improvement and generalization of Papasoglu's lemma. The Graduate Journal of Mathematics, 2018, 3 (1), pp.31 - 36. ⟨ensl-03015004⟩