Jacobi algebras on flat manifolds (Q937965)

The author studies symmetries of vector fields. The methods used are not new, but the notions of Jacobi algebra and generalized equation are here introduced for the first time in this context. More precisely, the author obtains a complete classification theorem of the Jacobi algebras on flat manifolds, and especially for the \(n\)-torus. The question about the realizability of these algebras remains open.