Publication

The Schwarz lemma for nonpositively curved Riemannian surfaces

Marc Troyanov
1991
Journal paper

Abstract

In this paper, we prove that if f is a conformal map between two Riemannian surfaces, and if the curvature of the target is nonpositive and less than or equal to the curvature of the source, then the map is contracting.

Official source

https://infoscience.epfl.ch/record/114941?ln=en

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The Schwarz lemma for nonpositively curved Riemannian surfaces

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