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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.

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

  • 章节

  • 发表日期：

    2025年

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  • Peter V. Dovbush,
  • Steven G. Krantz

摘要

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.