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Invariant subspaces in higher order jet prolongations of a fibred manifold
Authors:Miroslav Doupovec  Alexandr Vondra
Affiliation:(1) Department of Mathematics, FSI VUT Brno, Technická 2, 616 69 Brno, Czech Republic;(2) Klímova 15, 616 00 Brno, Czech Republic
Abstract:We present a generalization of the concept of semiholonomic jets within the framework of higher order prolongations of a fibred manifold. In this respect, a compilation of our 2-fibred manifold approach with the methods of natural operators theory is used.
Keywords:2-fibred manifold  jet prolongation  semiholonomic jets  natural transformation  connection
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