Automorphism groups of domains that depend on fewer than the maximal number of parameters

Jisoo Byun; Steven G. Krantz

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arXiv · 0810.4628

Automorphism groups of domains that depend on fewer than the maximal number of parameters

Jisoo Byun·Steven G. Krantz

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Abstract

We study domains in complex $n$-space with automorphism group that does not depend on the full $n$ dimensions of the ambient space. A sufficient geometric condition is obtained to guarantee that a domain has such a "thin" automorphism group. Examples are provided to illustrate the ideas.

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Jisoo Byun, Steven G. Krantz. 2008-10-25. Automorphism groups of domains that depend on fewer than the maximal number of parameters. https://arxiv.org/abs/0810.4628

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