Domains with non-compact automorphism group: A survey

A. V. Isaev; S. G. Krantz

doi:10.1006/aima.1998.1821

Domains with non-compact automorphism group: A survey

A. V. Isaev^*, S. G. Krantz

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

70 Citations (Scopus)

Abstract

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 past ten years.

Original language	English
Pages (from-to)	1-38
Number of pages	38
Journal	Advances in Mathematics
Volume	146
Issue number	1
DOIs	https://doi.org/10.1006/aima.1998.1821
Publication status	Published - 1 Sept 1999

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Domains with non-compact automorphism group: A survey

Abstract

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