The Gehring–Hayman inequality for quasihyperbolic geodesics

DOI10.1017/S0305004100071681zbMath0791.30015MaRDI QIDQ4287001

Steffen Rohde, Juha Heinonen

Publication date: 7 July 1994

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

geodesiclengthbilipschitz

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) General theory of conformal mappings (30C35)

Related Items (11)

Quasiconformal distortion on arcs ⋮ Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space ⋮ Weakly quasisymmetric maps and uniform spaces ⋮ Uniform continuity of quasiconformal mappings onto generalized John domains ⋮ A density result for homogeneous Sobolev spaces ⋮ The quasiconformal subinvariance property of John domains in \({\mathbb {R}}^n\) and its applications ⋮ Boundary behavior of quasi-regular maps and the isodiametric profile ⋮ The quasiconvexity of quasigeodesics in real normed vector spaces ⋮ Quasiconformal mappings and singularity of boundary distortion ⋮ Quasihyperbolic boundary conditions and capacity: uniform continuity of quasiconformal mappings ⋮ Quasihyperbolic geodesics in convex domains

Cites Work

• Unnamed Item
• Quasiconformal extension from dimension n to n+1
• Conformal geometry and quasiregular mappings
• Uniformly perfect sets and the Poincaré metric
• Extension of embeddings close to isometries or similarities
• A quasiconformal group not isomorphic to a Möbius group
• Lipschitz and quasiconformal approximation and extension
• Quasi-Symmetric Embeddings in Euclidean Spaces
• Hausdorff Dimension and Quasiconformal Mappings

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