A Schwarz-Pick lemma for minimal maps
Differential Geometry
2019-04-02 v1
Abstract
In this note, we prove a Schwarz-Pick type lemma for minimal maps between negatively curved Riemannian surfaces. More precisely, we prove that if is a minimal map with bounded Jacobian between two complete negatively curved Riemann surfaces M and N whose sectional curvatures and satisfy , then f is area decreasing.
Cite
@article{arxiv.1904.00487,
title = {A Schwarz-Pick lemma for minimal maps},
author = {Andreas Savas-Halilaj},
journal= {arXiv preprint arXiv:1904.00487},
year = {2019}
}