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On the $C^{\infty}$ version of the reflection principle for mappings between CR manifolds

We prove a smooth version of the classical Schwarz reflection principle for CR mappings between an abstract CR manifold $M$ and a generic CR manifold embedded in euclidean complex space. As a consequence of our results, we settle a conjecture of X. Huang and provide a solution to a question raised by Forstneric.

preprint2014arXivOpen access

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