Local exactness of top-degree forms in abstract Cauchy-Riemann complexes
type: Item
instance of: scholarly article
title: Local exactness of top-degree forms in abstract Cauchy-Riemann complexes
zbMATH Open document ID: 1024.32020
author: Judith Brinkschulte
published in: Manuscripta Mathematica
publication date: 2003-06-02T00:00:00Z
review text: The author proves that the Poincaré lemma is valid for the top degree cohomology of an abstract \(1\)-pseudoconcave CR manifold. The proof employs subelliptic estimates. For related results in a more general context see also \textit{M. Nacinovich} [Rend. Sem. Mat. Univ. Padova 69, 221-232 (1983; Zbl 0531.35018)].
reviewed by: Mauro Nacinovich
Mathematics Subject Classification ID: 32V99
Mathematics Subject Classification ID: 32F10
zbMATH DE Number: 1922378
zbMATH Keywords: Poincaré lemma
zbMATH Keywords: abstract 1-pseudoconcave CR manifold
zbMATH Keywords: top degree cohomology
MaRDI profile type: Publication
full work available at URL: s00229-002-0318-4
OpenAlex ID: W2087674488
DOI: 10.1007/S00229-002-0318-4
description: scientific article; zbMATH DE number 1922378