On the failure of the Poincaré Lemma for de-bar-sub-M II

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dc.creatorHill, C. Denson
dc.creatorNacinovich, Mauro
dc.date2007-10-18
dc.date.accessioned2026-07-07T08:37:07Z
dc.date.available2026-07-07T08:37:07Z
dc.descriptionWe obtain very sharp results about the lack of validity of the Poincare lemma for the tangential Cauchy Riemann equations, acting on tangential forms, tangential to a CR manifold M of general CR dimension n, and general CR codimension k. This generalizes the classical nonsolvability example of H. Lewy. We also discuss the CR structure on the characteristic bundle to M, due to certain degeneracies in the Levi form. A number of naturally geometrically occuring examples are given.
dc.identifierhttps://arxiv.org/abs/0710.3573
dc.identifierhttp://arxiv.org/abs/0710.3573
dc.identifierMath. Ann. 335 (2006), 193-219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140292
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subjectComplex Variables
dc.subject32V05 35N15
dc.titleOn the failure of the Poincaré Lemma for de-bar-sub-M II
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