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arXiv · 1411.2037

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

Shiferaw Berhanu·Ming Xiao
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Abstract

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.

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Shiferaw Berhanu, Ming Xiao. 2014-11-07. On the $C^{\infty}$ version of the reflection principle for mappings between CR manifolds. https://arxiv.org/abs/1411.2037

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