The Schwarz lemma for nonpositively curved Riemannian surfaces

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.


Published in:
Manuscr. Math., 72, 3, 251-256
Year:
1991
Laboratories:




 Record created 2007-12-17, last modified 2018-03-17

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