Schwarz's lemma

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.
References in periodicals archive ?
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.
13] _____, Schwarz's Lemma and Hermitian manifolds with constant holomorphic curvature, Several Complex Variables and Complex Geometry, Proc.