Quasisymmetric maps of boundaries of amenable hyperbolic groups

DOI10.1512/IUMJ.2014.63.5214zbMath1318.20042arXiv1404.5099OpenAlexW2963713091MaRDI QIDQ5174987

Tullia Dymarz

Publication date: 19 February 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5099

zbMATH Keywords

quasi-isometriesnegative curvatureCarnot groupsCarnot-Carathéodory metricquasi-isometric rigidityquasisymmetric mapsbilipschitz mapsamenable hyperbolic groups

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Geometric group theory (20F65) Nilpotent and solvable Lie groups (22E25) Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Hyperbolic groups and nonpositively curved groups (20F67) Means on groups, semigroups, etc.; amenable groups (43A07)

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