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

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.

To appear in Amer. J. Math., 38 pages

References in corpus (1)

• On the regularity of CR mappings between CR manifolds of hypersurface type