Quasicircles and bounded turning circles modulo bi-Lipschitz maps

DOI10.4171/RMI/687zbMath1254.30094arXiv1006.2929OpenAlexW2962706179MaRDI QIDQ446404

David A. Herron, Daniel Meyer

Publication date: 6 September 2012

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

Full work available at URL: https://arxiv.org/abs/1006.2929

zbMATH Keywords

Jordan curvebounded turning metric circlesmetric quasicircle

Mathematics Subject Classification ID

Metric geometry (51F99) Quasiconformal mappings in the complex plane (30C62) Quasiconformal mappings in metric spaces (30L10)

Related Items (15)

Bi-Lipschitz geometry of quasiconformal trees ⋮ Uniformly branching trees ⋮ Lipschitz functions on quasiconformal trees ⋮ Sobolev homeomorphic extensions onto John domains ⋮ Injectivity of Lipschitz operators ⋮ Lipschitz means and mixers on metric spaces ⋮ Iterated function system quasiarcs ⋮ Bounded turning circles are weak-quasicircles ⋮ Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian ⋮ On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains ⋮ Hyperbolic groups with planar boundaries ⋮ Quasiconformal Jordan domains ⋮ Quasi-symmetry without ratios ⋮ Conformal dimension and boundaries of planar domains ⋮ Weak quasicircles have Lipschitz dimension 1

Cites Work

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• The boundary correspondence under quasiconformal mappings
• Injectivity of local quasi-isometries
• Lectures on analysis on metric spaces
• Quasiconformal reflections
• Doubling conformal densities
• Bounded turning circles are weak-quasicircles
• Extension of quasiisometric embeddings of jordan curves

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