Formule d'homotopie pour un domaine à bord (q+k)-concave d'une variété CR générique et q-concave. Applications

Salomon Sambou; Bocar Touré

Annales Polonici Mathematici (2007)

  • Volume: 91, Issue: 1, page 43-55
  • ISSN: 0066-2216

Abstract

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We give a homotopy formula for the ∂ ̅ b operator on a domain with (q+k)-concave boundary. As a consequence we show that the dimension of the ∂ ̅ b -cohomology groups for some CR manifolds q-concave at infinity is finite.

How to cite

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Salomon Sambou, and Bocar Touré. "Formule d'homotopie pour un domaine à bord (q+k)-concave d'une variété CR générique et q-concave. Applications." Annales Polonici Mathematici 91.1 (2007): 43-55. <http://eudml.org/doc/280407>.

@article{SalomonSambou2007,
author = {Salomon Sambou, Bocar Touré},
journal = {Annales Polonici Mathematici},
keywords = {homotopy formula; CR manifold; -concave; -concave at infinity; -cohomology},
language = {fre},
number = {1},
pages = {43-55},
title = {Formule d'homotopie pour un domaine à bord (q+k)-concave d'une variété CR générique et q-concave. Applications},
url = {http://eudml.org/doc/280407},
volume = {91},
year = {2007},
}

TY - JOUR
AU - Salomon Sambou
AU - Bocar Touré
TI - Formule d'homotopie pour un domaine à bord (q+k)-concave d'une variété CR générique et q-concave. Applications
JO - Annales Polonici Mathematici
PY - 2007
VL - 91
IS - 1
SP - 43
EP - 55
LA - fre
KW - homotopy formula; CR manifold; -concave; -concave at infinity; -cohomology
UR - http://eudml.org/doc/280407
ER -

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