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Global solvability for certain classes of underdetermined systems of vector fields. (English) Zbl 0863.58062
A necessary and sufficient condition is proved for the validity of the global Poincaré lemma, in top degree, in the differential complex attached to certain classes of involutive structures defined over compact manifolds.

58J10 Differential complexes
35N10 Overdetermined systems of PDEs with variable coefficients
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
Full Text: DOI EuDML
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