Holomorphic maps acting as Kobayashi isometries on a family of geodesics

DOI10.1007/S00209-024-03569-7MaRDI QIDQ6593024

Filippo Bracci, Łukasz Kosiński, Włodzimierz Zwonek

Publication date: 26 August 2024

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

zbMATH Keywords

invariant metricsscaling methodsrigidity of holomorphic maps

Mathematics Subject Classification ID

Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19) Boundary uniqueness of mappings in several complex variables (32H12)

Cites Work

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• Continuous Semigroups of Holomorphic Self-maps of the Unit Disc
• A new Schwarz-Pick lemma at the boundary and rigidity of holomorphic maps
• Lower estimates of the Kobayashi distance and limits of complex geodesics
• A Gehring-Hayman inequality for strongly pseudoconvex domains

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