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

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dc.creatorLaurent-Thiébaut, Christine
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:29Z
dc.date.available2026-07-07T10:14:29Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/0810.5569
dc.identifierhttp://arxiv.org/abs/0810.5569
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172895
dc.subjectComplex Variables
dc.subject32V20
dc.titleStability of the vanishing of the $\overline\partial_b$-cohomology under small horizontal perturbations of the CR structure in compact abstract q-concave CR manifolds
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