English

Improvement and generalisation of Papasoglu's lemma

Metric Geometry 2018-09-26 v2

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.

Keywords

Cite

@article{arxiv.1708.09623,
  title  = {Improvement and generalisation of Papasoglu's lemma},
  author = {Simon Allais},
  journal= {arXiv preprint arXiv:1708.09623},
  year   = {2018}
}

Comments

8 pages, 5 figures

R2 v1 2026-06-22T21:28:55.611Z