research article

The Schwarz lemma for nonpositively curved Riemannian surfaces

Troyanov, Marc  
1991
Manuscr. Math.

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.

Cite this item

Troyanov, M. (1991). The Schwarz lemma for nonpositively curved Riemannian surfaces. Manuscr. Math., 72(3), 251–256. https://doi.org/10.1007/BF02568278

Click Copy to copy the citation, or select the text manually.

Type
research article
DOI
10.1007/BF02568278
Author(s)
Troyanov, Marc  
Date Issued

1991

Published in
Manuscr. Math.
Volume

72

Issue

3

Start page

251

End page

256

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
GR-TR  
Available on Infoscience
December 17, 2007
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/15759