The H-principle and Pseudoconcave CR Manifolds

Details The H-principle and Pseudoconcave CR Manifolds The H-principle and Pseudoconcave CR Manifolds

2007-10-30

arxiv.org/abs/0710.5728v1

Contemporary Mathematics, AMS, 389 (2005), 117-123

Mathematics

Complex Variables

Scientific paper

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.

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