We discuss stationary discs for generic CR manifolds and apply them to the problem of finite jet determination for CR mappings. We prove that a CR diffeomorphism of two finitely smooth strictly pseudoconvex Levi generating CR manifolds is uniquely determined by its 2-jet at a given point. A new key element of the proof is the existence of non-defective stationary discs.

中文翻译：

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高维数 CR 映射的固定盘和有限射流确定

我们讨论了通用 CR 歧管的固定盘，并将它们应用于 CR 映射的有限射流确定问题。我们证明了生成 CR 流形的两个有限光滑严格赝凸 Levi 的 CR 微分同胚由其在给定点的 2-射流唯一确定。证明的一个新关键要素是存在无缺陷的固定盘。