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On the Classification of Lie Pseudo-Algebras

Published online by Cambridge University Press:  20 November 2018

Ngö van Quê
Ngö van Quê*
Affiliation:
Université de Montréal, Montréal, Québec
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 22 , Issue 5 , 01 October 1970 , pp. 905 - 915
Copyright
Copyright © Canadian Mathematical Society 1970

References

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