Kai Rajala

activity

20232026

most citedConformal Uniformization of Domains Bounded by Quasitripods

1 citations · 1 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.MG2026

Length distortion of volume-preserving Lipschitz mappings

Damaris Meier, Kai Rajala

We show that every area-preserving Lipschitz map between metric surfaces distorts the length of almost every curve by at most a multiplicative factor, answering a question posed by…

math.MG2024

Definitions of quasiconformality on metric surfaces

Damaris Meier, Kai Rajala

We explore the interplay between different definitions of distortion for mappings $f : X \to R^{2}$ , where $X$ is any metric surface, meaning that $X$ is homeomorphic to…

math.MG2023

Mappings of finite distortion on metric surfaces

Damaris Meier, Kai Rajala

We investigate basic properties of mappings of finite distortion $f : X \to R^{2}$ , where $X$ is any metric surface, i.e., metric space homeomorphic to a planar domain with lo…