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math.DG2012
-harmonic coordinates and the regularity of conformal mappings
Tony Liimatainen, Mikko Salo
This article studies the smoothness of conformal mappings between two Riemannian manifolds whose metric tensors have limited regularity. We show that any bi-Lipschitz conformal map…
math.DG2012
Optimal Riemannian metric for a volumorphism and a mean ergodic theorem in complete global Alexandrov nonpositively curved spaces
Tony Liimatainen
In this paper we give a natural condition for when a volumorphism on a Riemannian manifold is actually an isometry with respect to some other, optimal, Riemannian metric $h…