A Kobayashi and Bergman complete domain without bounded representations

preprint2020arXivOpen access

We construct an unbounded strictly pseudoconvex Kobayashi hyperbolic and complete domain in $\mathbb{C}^2$ , which also possesses complete Bergman metric, but has no nonconstant bounded holomorphic functions.

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A Kobayashi and Bergman complete domain without bounded representations

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