Chang, Chin-Huei Hypoanalyticity with vanishing Levi form. (English) Zbl 0584.32051 Bull. Inst. Math., Acad. Sin. 13, 123-136 (1985). It is shown that a characteristic vector that annihilate the Levi form of a \(C^{\infty}\)-manifold does not belong to the hypoanalytic wave-front set of any solution with respect to a fixed hypoanalytic structure, if there exists a vector field, which product with its second Lie bracket is not zero. As a corollary there are found conditions that guarantee hypoanalyticity of a solution at a fixed point. Reviewer: T.Tonev Cited in 1 Document MSC: 32L05 Holomorphic bundles and generalizations 32L20 Vanishing theorems 32A45 Hyperfunctions 58J15 Relations of PDEs on manifolds with hyperfunctions 35D10 Regularity of generalized solutions of PDE (MSC2000) Keywords:hypoanalytic function; distribution; characteristic vector; Levi form; manifold; Lie bracket PDFBibTeX XMLCite \textit{C.-H. Chang}, Bull. Inst. Math., Acad. Sin. 13, 123--136 (1985; Zbl 0584.32051)