6533b82efe1ef96bd12925e2

RESEARCH PRODUCT

Quasisymmetric structures on surfaces

subject

description

We show that a locally Ahlfors 2-regular and locally linearly locally contractible metric surtace is locally quasisymmetrically equivalent to tne disk. We also discuss an application of this result to the problem of characterizing surfaces embedded in some Euclidean spaces that are locally bi-Lipschitz equivalent to a ball in the plane.