English

A note on the closed range of $\bar\partial_b$ on q-convex manifolds

Complex Variables 2020-04-21 v1

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 XX. Our result generalizes the known case when XX is a Stein manifold.

Keywords

Cite

@article{arxiv.2004.08505,
  title  = {A note on the closed range of $\bar\partial_b$ on q-convex manifolds},
  author = {Luca Baracco and Alexander Tumanov},
  journal= {arXiv preprint arXiv:2004.08505},
  year   = {2020}
}