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A generalisation of Ahlfors-Schwarz lemma to Riemannian geometry
Published online by Cambridge University Press: 17 April 2009
Abstract
Our main result shows that a conformal mapping of hyperbolic n-space into another Riemannian manifold with scalar curvature bounded above by −n(n − 1) is necessarily distance decreasing. This is a generalisation of Ahlfors' version of the Schwarz-Pick lemma to Riemannian Geometry.
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- Copyright © Australian Mathematical Society 1995
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