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

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

2008-10-25

arxiv.org/abs/0810.4628v1

Mathematics

Complex Variables

Scientific paper

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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