Domains with Non-Compact Automorphism Group: A Survey
Complex Variables
2016-09-06 v1
Abstract
We survey results arising from the study of domains in C^n 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.
Cite
@article{arxiv.math/9612201,
title = {Domains with Non-Compact Automorphism Group: A Survey},
author = {A. V. Isaev and S. G. Krantz},
journal= {arXiv preprint arXiv:math/9612201},
year = {2016}
}