Rigidity of fiber-preserving quasisymmetric maps

DOI10.4171/RMI/923zbMath1372.30063arXiv1501.02391WikidataQ109520634 ScholiaQ109520634MaRDI QIDQ515358

Xiangdong Xie, Enrico Le Donne

Publication date: 13 March 2017

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.02391

zbMATH Keywords

Carnot groupsquasisymmetric mapsquasisymmetric spaces

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Quasiconformal mappings in metric spaces (30L10)

Related Items (7)

Metric equivalences of Heintze groups and applications to classifications in low dimension ⋮ Orlicz spaces and the large scale geometry of Heintze groups ⋮ On quasi-isometry invariants associated to a Heintze group ⋮ A fibered Tukia theorem for nilpotent Lie groups ⋮ Rigidity of quasiconformal maps on Carnot groups ⋮ Relative L^p-cohomology and application to Heintze groups ⋮ Quasiconformal maps on a 2-step Carnot group

Cites Work

• A sufficient condition for nonrigidity of Carnot groups
• Quasiconformal maps in metric spaces with controlled geometry
• Global contact and quasiconformal mappings of Carnot groups
• Quasisymmetric maps of boundaries of amenable hyperbolic groups
• Lifts of Lipschitz maps and horizontal fractals in the Heisenberg group
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