Formule d'homotopie pour un domaine à bord -concave d'une variété CR générique et q-concave. Applications
Volume 91 / 2007
Annales Polonici Mathematici 91 (2007), 43-55
MSC: 32V20, 32F10.
DOI: 10.4064/ap91-1-4
Abstract
We give a homotopy formula for the \overline {\partial }_{b} operator on a domain with (q+k)-concave boundary. As a consequence we show that the dimension of the \overline {\partial }_{b}-cohomology groups for some CR manifolds q-concave at infinity is finite.
