A note on ∂-bilipschitz mappings in quasiconvex metric spaces

Abstract

This paper focuses on properties of ∂-biLipschitz mappings which were recently introduced by Bulter. We establish several characterizations for the class of ∂-biLipschitz mappings between domains in quasiconvex metric spaces. As an application, we show that a locally quasisymmetric equivalence between uniform metric spaces is quasim\"obius, quantitatively.

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