Rigidity of Holomorphic Mappings and a New Schwarz Lemma at the Boundary

Peter V. Dovbush and Steven G. Krantz
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Peter V. Dovbush: Moldova State University, Institute of Mathematics and Computer Science
Steven G. Krantz: Washington University in St. Louis, Mathematics, CB 1146

Chapter Chapter 11 in The Geometric Theory of Complex Variables, 2025, pp 215-231 from Springer

Abstract: Abstract The uniqueness portion of the classical Schwarz lemma has played an interesting historical role. Usually first encountered in the classification of the conformal self-maps of the disc, it arises in more general considerations of automorphism groups, in the construction of the Carathéodory and Kobayashi/Royden metrics, and in a variety of contexts in analysis on manifolds.

Date: 2025
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DOI: 10.1007/978-3-031-77204-7_11

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