Local exactness of top-degree forms in abstract Cauchy-Riemann complexes (Q1566319)
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scientific article; zbMATH DE number 1922378
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local exactness of top-degree forms in abstract Cauchy-Riemann complexes |
scientific article; zbMATH DE number 1922378 |
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Local exactness of top-degree forms in abstract Cauchy-Riemann complexes (English)
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2 June 2003
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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)].
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Poincaré lemma
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abstract 1-pseudoconcave CR manifold
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top degree cohomology
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