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A generalisation of Ahlfors-Schwarz lemma to Riemannian geometry

Published online by Cambridge University Press:  17 April 2009

Kok Seng Chua
Kok Seng Chua
Affiliation:
14 Cornwall Gardens, Singapore1026
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 3 , June 1995 , pp. 517 - 520
Copyright
Copyright © Australian Mathematical Society 1995

References

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