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Domains in C n+1 with noncompact automorphism group

Authors:	Eric Bedford Sergey Pinchuk

Affiliation:	1. Department of Mathematics, Indiana University, 47405, Bloomington, IN 2. Bashkirian State University, Ufa, USSR

Abstract:	We consider certain pseudoconvex domains in Cⁿ⁺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. Communicated by Steven Krantz

Keywords:	KeywordHeading" >Math Subject Classification 32M99 32H99
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