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ArticleOriginal scientific text

Title

Complex Plateau problem in non-Kähler manifolds

Authors 1

Affiliations

  1. Université de Lille-I, U.F.R. de Mathématiques, 59655 Villeneuve d'Ascq Cedex, France

Abstract

We consider the complex Plateau problem for strongly pseudoconvex contours in non-Kähler manifolds. We give a necessary and sufficient condition for the existence of solution in the class of manifolds carrying pluriclosed metric forms and propose a conjecture for the general case.

Keywords

ENG
meromorphic map, continuity principle, Hartogs extension theorem, spherical shell, complex Plateau problem

Bibliography

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Annales Polonici Mathematici
1998/70/1
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Pages:
131-143
Main language of publication
English
Received
1997-12-20
Accepted
1998-04-19
Published
1998
Exact and natural sciences