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Schwarz's lemma

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Schwarz's lemma [′shvärt·səz ‚lem·ə]
(mathematics)
If an analytic function of the unit disk to itself sends the origin to the origin then it must be distance-decreasing.
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A final trio of papers looks at related topics, including a counterexample to Thurston's K = 2 conjecture, and Schwarz's lemma and the Kobayashi and Caratheodory pseudometrics on complex Banach manifolds.
Kleinian Groups and Hyperbolic 3-Manifolds: Proceedings by SciTech Book News
 
 
 
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