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A smooth pseudoconvex domain without pseudoconvex exhaustion

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Abstract

A pseudoconvex demain with real —analytic smooth boundary on a complex manifold is constructed which cannot be exhausted by pseudoconvex domains.

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References

  1. DIEDERICH, K., FORNAESS, J.E.: Pseudoconvex domains: Existence of Stein neighborhoods. Duke Math.J.44 (1977), 641–661

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  2. DIEDERICH, K., FORNAESS, J.E.: Pseudoconvex domains with real —analytic boundary. Ann.Math.107 (1978), 371–384

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  3. DIEDERICH, K., OHSAWA, T.: A Levi problem on two-dimensional complex manifolds. Preprint 1982

  4. OHSAWA, T.: A Stein donain with smooth boundary which has a product structure. Preprint 1982

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Authors and Affiliations

  1. Universität Wuppertal Mathematik, Gaußstraße 20, D-5600, Wuppertal 1, W.Germany

    Klas Diederich

  2. Matematisk Institutt, Universitetet i Oslo, Blindem, Oslo 3, Norway

    John Erik Fornaess

Authors
  1. Klas Diederich
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  2. John Erik Fornaess
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Diederich, K., Fornaess, J.E. A smooth pseudoconvex domain without pseudoconvex exhaustion. Manuscripta Math 39, 119–123 (1982). https://doi.org/10.1007/BF01312449

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  • DOI: https://doi.org/10.1007/BF01312449

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