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.
Daniel Kressner, Axel Elie Joseph Séguin
Nicolas Boumal, Christopher Arnold Criscitiello
Tian Chen, Yingying Ren, Yue Wang