The Schwarz lemma for nonpositively curved Riemmanian surfaces
- Cite this article as:
- Troyanov, M. Manuscripta Math (1991) 72: 251. doi:10.1007/BF02568278
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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.