On the absence of the one-sided Poincaré lemma in Cauchy-Riemann manifolds

Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 4 (4):587-600 (2005)
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Abstract

Given an embeddable $CR$ manifold $M$ and a non-characteristic hypersurface $S\subset M$ we present a necessary condition for the tangential Cauchy-Riemann operator $\overline{\partial }_M$ on $M$ to be locally solvable near a point $x_0\in S$ in one of the sides determined by $S$

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10.2422/2036-2145.2005.4.02

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