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

Salomon Sambou; Bocar Touré — 2007

Annales Polonici Mathematici

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

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