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The contact system on the ( m , ) -jet spaces

J. MuñozF. J. MurielJosemar Rodríguez — 2001

Archivum Mathematicum

This paper is a continuation of [MMR:98], where we give a construction of the canonical Pfaff system Ω ( M m ) on the space of ( m , ) -velocities of a smooth manifold M . Here we show that the characteristic system of Ω ( M m ) agrees with the Lie algebra of Aut ( m ) , the structure group of the principal fibre bundle M ˇ m J m ( M ) , hence it is projectable to an irreducible contact system on the space of ( m , ) -jets ( = -th order contact elements of dimension m ) of M . Furthermore, we translate to the language of Weil bundles the structure form...

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