Complex Plateau problem in non Kähler manifolds

1998/04/02 by Sergei Ivashkovich, Ivashkovich, Sergei
Mathematics · #32D15 #53C55 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #math.CV #math.DG #msc:32D15 #msc:53C55

paper · pdf · doi:10.48550/arxiv.math/9804008

arxiv created 1998/04/02 · openalex publication_date 1998/04/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a complex Plateau problem for strongly pseudoconvex contours in non Kähler manifolds. A positive solution in the case of manifolds carrying a pluriclosed Hermitian metric forms is given. For the general case we propose a conjecture.

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