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

2008/10/25 by Byun, Jisoo, Krantz, Steven G.
#32H02 #32H99 #32M05 #32M99 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.0810.4628

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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