2007/09/06 by Kevin Wildrick, Wildrick, Kevin · 1 citation
Mathematics · #30C65 #57M50 #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Metric Geometry (math.MG) #math.CV #math.MG #msc:30C65 #msc:57M50
paper · pdf · doi:10.48550/arxiv.0709.0795
34 pages, 7 figures
arxiv created 2007/09/06 · openalex publication_date 2007/09/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that a locally Ahlfors 2-regular and locally linearly locally contractible metric surface is locally quasisymmetrically equivalent to the disk. We also discuss an application of this result to the problem of characterizing surfaces in some Euclidean space that are locally bi-Lipschitz equivalent to an open subset of the plane.