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math.DG2019★ 2 cited
Conformal harmonic coordinates
Matti Lassas, Tony Liimatainen
We study conformal harmonic coordinates on Riemannian manifolds. These are coordinates constructed as quotients of solutions to the conformal Laplace equation. We show their existe…
math.DG2016
Equivalence of quasiregular mappings on subRiemannian manifolds via the Popp extension
Chang-Yu Guo, Tony Liimatainen
We show that all the common definitions of quasiregular mappings between two equiregular subRiemannian manifolds of homogeneous dimension are quantitativ…
math.DG2015
p-harmonic coordinates for Hölder metrics and applications
Vesa Julin, Tony Liimatainen, Mikko Salo
We show that on any Riemannian manifold with Hölder continuous metric tensor, there exists a -harmonic coordinate system near any point. When this leads to a useful gaug…