, Volume 1, Issue 3, pp 165-191

Domains in C n+1 with noncompact automorphism group

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We consider certain pseudoconvex domains in C n+1 and show that if the automorphism group is noncompact, then the domain is equivalent to \(E_m = \{ |w|^2 + |z_1 |^{2m} + |z_2 |^2 + \cdots + |z_n |^2< 1\} \) for some integerm ≥ 1.

First author supported in part by a grant from the National Science Foundation. This research was carried out while the second author was visiting Indiana University.
Communicated by Steven Krantz