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

C. Denson Hill; Mauro Nacinovich

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arXiv · 0710.3573

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

C. Denson Hill·Mauro Nacinovich

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Abstract

We 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.

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BibTeX RIS

C. Denson Hill, Mauro Nacinovich. 2007-10-18. On the failure of the Poincaré Lemma for de-bar-sub-M II. https://arxiv.org/abs/0710.3573

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