Kobayashi hyperbolic convex domains not biholomorphic to bounded convex\n domains

2020/06/14 by Andrew Zimmer, Zimmer, Andrew
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2006.07939

openalex publication_date 2020/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct families of convex domains that are biholomorphic to bounded\ndomains, but not bounded convex domains. This is accomplished by finding an\nobstruction related to the Gromov hyperbolicity of the Kobayashi metric.\n

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