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Abstract : 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.
https://hal-ens-lyon.archives-ouvertes.fr/ensl-03015004 Contributor : Simon AllaisConnect in order to contact the contributor Submitted on : Thursday, November 19, 2020 - 4:48:17 PM Last modification on : Wednesday, December 1, 2021 - 3:47:45 AM
Simon Allais. Improvement and generalization of Papasoglu's lemma. The Graduate Journal of Mathematics, Mediterranean Institute for the Mathematical Sciences (MIMS), 2018, 3 (1), pp.31 - 36. ⟨ensl-03015004⟩