Stability of the vanishing of the $\overline\partial_b$-cohomology under small horizontal perturbations of the CR structure in compact abstract q-concave CR manifolds

Details Stability of the vanishing of the $\overline\partial_b$-cohomology under small horizontal perturbations of the CR structure in compact abstract q-concave CR manifolds Stability of the vanishing of the $\overline\partial_b$-cohomology under small horizontal perturbations of the CR structure in compact abstract q-concave CR manifolds

2008-10-30

arxiv.org/abs/0810.5569v1

Mathematics

Complex Variables

Scientific paper

We consider perturbations of CR structures which preserve the complex tangent
bundle. For a compact generic CR manifold its concavity properties and hence
the finiteness of some $\overline\partial_b$-cohomology groups are also
preserved by such perturbations of the CR structure. Here we study the
stability of the vanishing of these groups.

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