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research article
The Schwarz lemma for nonpositively curved Riemannian surfaces
1991
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.
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Type
research article
Authors
Publication date
1991
Published in
Volume
72
Issue
3
Start page
251
End page
256
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 17, 2007