A generalization of the Ahlfors-Schwarz lemma
Author: Scott Wolpert
Journal: Proc. Amer. Math. Soc. 84 (1982), 377-378
MSC: Primary 53A30; Secondary 32H15
MathSciNet review: 640235
Abstract: Consider, for a compact surface, two conformal metrics and of negative Gauss curvature. Assume the curvatures and satisfy . It is concluded that . In particular if the curvature is pinched, , then the inequality follows for the constant curvature metric.