Vol. 46, No. 1, 1973

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The Levi problem for a product manifold

Yasou Matsugu

Vol. 46 (1973), No. 1, 231–233
Abstract

Let S be a Stein manifold, T a one dimensional torus, π a projection of the product E = S × T onto S and D a subdomain of E. The main object of this paper is to prove that D is a Stein manifold if and only if D is pseudoconvex in the sense of Cartan and π1(x) is not contained in D for any point x of S.

Mathematical Subject Classification 2000
Primary: 32F15
Secondary: 32E10
Milestones
Received: 1 February 1972
Published: 1 May 1973
Authors
Yasou Matsugu