Analytic discs in pseudoconvex submanifolds of \(\mathbb C^N\) of higher codimension (Q1777260)

We recall that for a pseudoconvex hypersurface \(M\) in \({\mathbb C}^{n}\), small analytic discs attached to \(M\) are in fact contained in \(M\) [see \textit{K. Diederich} and \textit{J. E. Fornaess}, Invent. Math. 39, 129--141 (1977; Zbl 0353.32025)]. The author generalizes this result, namely: If a small analytic disc is attached to a pseudoconvex submanifold \(M\) of \( {\mathbb C}^{n}\) and shares a conormal with \(M\) at some boundary point, then it is in fact contained in \(M\).