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.
Details
Title
The Schwarz lemma for nonpositively curved Riemannian surfaces
Author(s)
Troyanov, Marc
Published in
Manuscr. Math.
Volume
72
Issue
3
Pages
251-256
Date
1991
Laboratories
GR-TR
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > GR-TR - Troyanov Group
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2007-12-17