On the quantitative quasi-isometry problem: transport of Poincaré inequalities and different types of quasi-isometric distortion growth
type: Dataset
description: We consider a quantitative form of the quasi-isometry problem. We discuss several arguments which lead us to different results and bounds of quasi-isometric distortion: comparison of volumes, connectivity etc. Then we study the transport of Poincaré constants by quasi-isometries and we give sharp lower and upper bounds for the homotopy distortion growth for an interesting class of hyperbolic metric spaces.
issued: 2026-05-07T05:26:28.061638
language: en
modified: 2026-05-07T05:26:28.061642
contact point: Organization
  fn: CCSD
keyword: 51f99
keyword: hyperbolic-spaces
keyword: infoeu-reposemanticspreprint
keyword: mathmath-mgmathematics-mathmetric-geometry-mathmg
keyword: poincare-constants
keyword: preprints-working-papers-
keyword: quantitative-quasi-isometry-problem
keyword: quasi-isometries
landing page: https://hal.science/hal-00937818

On the quantitative quasi-isometry problem: transport of Poincaré inequalities and different types of quasi-isometric distortion growth
type: Distribution
format: HTML
issued: 2026-05-07T05:26:28.062786
modified: 2026-05-07T05:26:28.052342
access URL: https://hal.science/hal-00937818

test_moissonnage_selune
type: Agent