Examples of domains with non-compact automorphism groups

Details Examples of domains with non-compact automorphism groups Examples of domains with non-compact automorphism groups

1996-02-09

arxiv.org/abs/math/9602201v1

Mathematics

Complex Variables

Scientific paper

We give, in dimensions three or greater, an example of a bounded, pseudoconvex, circular domain in complex space with smooth real analytic boundary and non-compact automorphism group which is not biholomorphically equivalent to any Reinhardt domain. We give an analogous example in dimension two, but the domain fails to be smooth at one boundary point---indeed it is not in any Lipschitz class at the exceptional point.

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