The H-principle and Pseudoconcave CR Manifolds

C. Denson Hill; Egmont Porten

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arXiv · 0710.5728

The H-principle and Pseudoconcave CR Manifolds

C. Denson Hill·Egmont Porten

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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.

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C. Denson Hill, Egmont Porten. 2007-10-30. The H-principle and Pseudoconcave CR Manifolds. https://arxiv.org/abs/0710.5728

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