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Stationary discs and finite jet determination for CR mappings in higher codimension (1912.03782v2)
Published 8 Dec 2019 in math.CV
Abstract: We discuss stationary discs for generic CR manifolds and apply them to the problem of finite jet determination for CR mappings. We prove that a CR diffeomorphism of two finitely smooth strictly pseudoconvex Levi generating CR manifolds is uniquely determined by its 2-jet at a given point. A new key element of the proof is the existence of non-defective stationary discs.