Title

Geometry of Semi-tube Domains in ℂ2

Editor(s)

Grundhöfer, Theo and Strambach, Karl

Abstract

In this paper we study a class of unbounded domains in ℂ2 which are invariant with respect to translations in some fixed real direction. Such domains will be called semi-tubes. We prove various properties of such domains, e.g., dependence of pseudoconvexity on the position of the base of the domain in ℝ3 ≃ ℂ × ℝ the Hartogs type phenomenon on holomorphic extension of CR functions, and give concrete examples of semi-tubes over tori in ℝ3≃ℂ × ℝ and see how the position of the tori influences the pseudoconvexity of the semi-tube.

Department(s)

Mathematics and Statistics

Keywords and Phrases

Tubes; unbounded domains; pseudoconvexity

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2012 Walter de Gruyter, All rights reserved.


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