Finitely smooth Reinhardt domains with non-compact automorphism group

Mathematics – Complex Variables

Scientific paper

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Scientific paper

We give a complete description of bounded Reinhardt domains of finite boundary smoothness that have non-compact automorphism group. As part of this program, we show that the classification of domains with non-compact automorphism group and having only finite boundary smoothness is considerably more complicated than the classification of such domains that have infinitely smooth boundary.

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