A Kobayashi metric version of Bun Wong's theorem

2008/03/17 by Kang‐Tae Kim, Kim, Kang-Tae, Steven G. Krantz +1
Mathematics · #32M05 #32Q45 #32Q99 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.0803.2479

openalex publication_date 2008/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that a strongly pseudoconvex domain with noncompact group of Kobayashi/Royden metric isometries must be biholomorphic to the unit ball.

Citations

• On the holomorphicity of isometries of intrinsic metrics in complex analysis

Related

• Some aspects of the Kobayashi and Carathéodory metrics on pseudoconvex domains
• The Kobayashi metric, extremal discs, and biholomorphic mappings
• On isometries of the Kobayashi and Carathéodory metrics
• Boundary behavior of the Kobayashi-Royden metric in smooth pseudoconvex domains
• Regularity of Kobayashi metric