Geodesic
On the Classification of Lie Pseudo-Algebras
Canadian journal of mathematics, Tome 22 (1970) no. 5, pp. 905-915

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For every ( differentiable) bundle E over a manifold M, Jk(E) denotes the set of all k-jets of local (differentiable) sections of the bundle E. Jk(E) is a bundle over M such that if X is a section of E, then is a (differentiable) section of Jk(E). If E is a vector bundle, Jk(E) is a vector bundle and we have the canonical exact sequence of vector bundles where Sk(T*) is the symmetric Whitney tensor product of the cotangent vector bundle T* of M. and π is the canonical morphism which associates to each k-jet of section its jet of inferior order. 
Quê, Ngö van. On the Classification of Lie Pseudo-Algebras. Canadian journal of mathematics, Tome 22 (1970) no. 5, pp. 905-915. doi: 10.4153/CJM-1970-104-9
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