On a local embedding theorem of generalized-Mizohata structures (Q675780)

The main purpose of the paper is to generalize a local embedding theorem for Mizohata structures, namely: Theorem 5.1. If \((M,E_M)\) is a formally integrable generalized Mizohata structure, which is strongly pseudoconvex and \(n+p-1\geq 3\), where \(\dim_{\mathbb{R}}M= 2n+p-1\), \(\dim_{\mathbb{C}}E_M= n+p-1\), then there is a \(\mathbb{C}^\infty\) local embedding of \(M\) into a generalized complex manifold \(\mathbb{R}^p\times\mathbb{C}^n\), satisfying \(Xf_i=0\), \(X\in E_M\), where \(f=(f_1,\dots,f_p, f_{p+1},\dots,f_{p+n})\).