An example of a bounded $\Bbb C$ -convex domain which is not biholomoprhic to a convex domain

preprint2006arXivOpen access

We show that the symmetrized bidisc is a $\Bbb C$ -convex domain. This provides an example of a bounded $\Bbb C$ -convex domain which cannot be exhausted by domains biholomorphic to convex domains.

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An example of a bounded $\Bbb C$ -convex domain which is not biholomoprhic to a convex domain

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An example of a bounded C\Bbb CC-convex domain which is not biholomoprhic to a convex domain

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An example of a bounded $\Bbb C$ -convex domain which is not biholomoprhic to a convex domain