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Domains with non-compact automorphism group: a survey

Isaev, Alexander; Krantz, Steven


We survey results arising from the study of domains in Cn with non-compact automorphism group. Beginning with a well-known characterization of the unit ball, we develop ideas toward a consideration of weakly pseudoconvex (and even non-pseudoconvex) domains with particular emphasis on characterizations of (i) smoothly bounded domains with non-compact automorphism group and (ii) the Levi geometry of boundary orbit accumulation points. Particular attention will be paid to results derived in the...[Show more]

CollectionsANU Research Publications
Date published: 1999
Type: Journal article
Source: Advances in Mathematics
DOI: 10.1006/aima.1998.1821


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