The H-principle and Pseudoconcave CR Manifolds
Complex Variables
2007-11-01 v1 Analysis of PDEs
Algebraic Topology
Abstract
The H-principle, which is the analogue, for CR manifolds, of the classical Hartogs principle in several complex variables, is known to be valid in the small on a pseudoconcave CR manifold of any codimension. However it fails in the large, as has been shown by the counterexample found in [HN1]. Hence there is an underlying obstruction to the global H-principle on a pseudoconcave CR manifold. The purpose of this note is to take the first steps toward a deeper understanding of this obstruction.
Cite
@article{arxiv.0710.5728,
title = {The H-principle and Pseudoconcave CR Manifolds},
author = {C. Denson Hill and Egmont Porten},
journal= {arXiv preprint arXiv:0710.5728},
year = {2007}
}