A note on the closed range of ∂_b on q-convex manifolds

2020/04/18 by Luca Baracco, Baracco, Luca, Alexander Tumanov +1
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.2004.08505

arxiv created 2020/04/18 · arxiv updated 2020/04/21

Abstract

We prove that the tangential Cauchy-Riemann operator has closed range on Levi-pseudoconvex CR manifolds that are embedded in a q-convex complex manifold X. Our result generalizes the known case when X is a Stein manifold.

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