SUR L'ÉQUATION DE CAUCHY–RIEMANN TANGENTIELLE DANS UNE CALOTTE STRICTEMENT PSEUDOCONVEXE-Reference-Cited by-同舟云学术

SUR L'ÉQUATION DE CAUCHY–RIEMANN TANGENTIELLE DANS UNE CALOTTE STRICTEMENT PSEUDOCONVEXE

Published:2005-10 Issue:09 Volume:16 Page:1063-1079
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

LAURENT-THIÉBAUT CHRISTINE¹

Affiliation:

1. Université de Grenoble, Institut Fourier, UMR 5582 CNRS/UJF, BP 74, 38402 St Martin d'Hères Cedex, France

Abstract

We search a cohomological and a geometrical characterization of the open subsets of a strictly pseudoconvex boundary in a Stein manifold on which one can solve the tangential Cauchy–Riemann equation in all bidegrees. On cherche une caractérisation cohomologique et géométrique des ouverts du bord d'un domaine strictement pseudoconvexe relativement compact d'une variété de Stein sur lesquels on peut résoudre l'équation de Cauchy–Riemann tangentielle en tout bidegré.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X05003223

Reference19 articles.

1. Removable singularities in the boundary

2. F. Forstnerič and C. Laurent-Thiébaut, Stein compacts in Levi-flat hypersurfaces, Preprint series 42 (University of Ljubljana, Institute of Mathematics, 2004) pp. 1–20, arXiv: math.CV/0410386.

3. Compact holomorphically convex subsets of a Stein manifold

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