complex-analysis
Schwarz's lemma
taught
A holomorphic self-map of the unit disk fixing the origin can only shrink distances toward the center, with equality forcing the map to be a rotation.
Taught in
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Schwarz's lemma
Complex Analysis
Requires
- conformal-mapping required
- maximum-modulus-principle required
Required by
- The Schwarz-Pick theorem required
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Local knowledge map
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