Abstract
Let f : M → M′ be a smooth CR mapping between a generic real analytic submanifold M ⊂ ℂn, n > 1, and a real analytic subset M′ ⊂ ℂn′. We prove that if M is minimal and if M′ does not contain any complex curves, then f is analytic on a dense open subset of M. More generally, we establish an upper estimate of the partial analyticity of f, which depends on the maximal dimension of local holomorphic foliations contained in M′.
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