2020
DOI: 10.48550/arxiv.2003.06728
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A Kobayashi and Bergman complete domain without bounded representations

Nikolay Shcherbina1,
Liyou Zhang2

Abstract: We construct an unbounded strictly pseudoconvex Kobayashi hyperbolic and complete domain in C 2 , which also possesses complete Bergman metric, but has no nonconstant bounded holomorphic functions.

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