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On the c∞ version of the reflection principle for mappings between CR manifolds
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 137, Number 5, October 2015
- pp. 1365-1400
- 10.1353/ajm.2015.0034
- Article
- Additional Information
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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 formulated in 1994.