Given an embeddable manifold and a non-characteristic hypersurface we present a necessary condition for the tangential Cauchy-Riemann operator on to be locally solvable near a point in one of the sides determined by .
@article{ASNSP_2005_5_4_4_587_0,
author = {Nicola, Fabio},
title = {On the absence of the one-sided {Poincar\'e} lemma in {Cauchy-Riemann} manifolds},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
pages = {587--600},
year = {2005},
publisher = {Scuola Normale Superiore, Pisa},
volume = {Ser. 5, 4},
number = {4},
mrnumber = {2207735},
zbl = {1170.32315},
language = {en},
url = {https://www.numdam.org/item/ASNSP_2005_5_4_4_587_0/}
}
TY - JOUR AU - Nicola, Fabio TI - On the absence of the one-sided Poincaré lemma in Cauchy-Riemann manifolds JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 2005 SP - 587 EP - 600 VL - 4 IS - 4 PB - Scuola Normale Superiore, Pisa UR - https://www.numdam.org/item/ASNSP_2005_5_4_4_587_0/ LA - en ID - ASNSP_2005_5_4_4_587_0 ER -
%0 Journal Article %A Nicola, Fabio %T On the absence of the one-sided Poincaré lemma in Cauchy-Riemann manifolds %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 2005 %P 587-600 %V 4 %N 4 %I Scuola Normale Superiore, Pisa %U https://www.numdam.org/item/ASNSP_2005_5_4_4_587_0/ %G en %F ASNSP_2005_5_4_4_587_0
Nicola, Fabio. On the absence of the one-sided Poincaré lemma in Cauchy-Riemann manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Tome 4 (2005) no. 4, pp. 587-600. https://www.numdam.org/item/ASNSP_2005_5_4_4_587_0/
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