Vol. 46, No. 1, 1973

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Vol. 299: 1  2
Vol. 298: 1  2
Vol. 297: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
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