English

Regularity for The CR Vector Bundle Problem I

Complex Variables 2009-11-25 v1

Abstract

We give a new solution to the local integrability problem for CR vector bundles over strictly pseudoconvex real hypersurfaces of dimension seven or greater. It is based on a KAM rapid convergence argument and avoids the previous more difficult Nash-Moser methods. The solution is sharp as to H\"older continuity.

Keywords

Cite

@article{arxiv.0911.4547,
  title  = {Regularity for The CR Vector Bundle Problem I},
  author = {Xianghong Gong and S. M. Webster},
  journal= {arXiv preprint arXiv:0911.4547},
  year   = {2009}
}
R2 v1 2026-06-21T14:15:15.262Z