2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141132The 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.Complex VariablesAnalysis of PDEsAlgebraic Topology32V10; 32V25; 32D20The H-principle and Pseudoconcave CR Manifoldstext