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Hypoanalyticity with vanishing Levi form. (English) Zbl 0584.32051

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

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)
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