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Global solvability of a class of involutive systems. (English) Zbl 0942.35011
The authors study a class of involutive systems of real vector fields on the \(N\)-dimensional torus. It is proved that global solvability is equivalent to an algebraic condition which uses Liouville forms.

MSC:
35A30 Geometric theory, characteristics, transformations in context of PDEs
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