On iteration of higher order jets and prolongation of connections
Miroslav Doupovec ; Włodzimierz M. Mikulski
Annales Polonici Mathematici, Tome 101 (2011), p. 55-75 / Harvested from The Polish Digital Mathematics Library
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We introduce exchange natural equivalences of iterated nonholonomic, holonomic and semiholonomic jet functors, depending on a classical linear connection on the base manifold. We also classify some natural transformations of this type. As an application we introduce prolongation of higher order connections to jet bundles.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:280777 
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     year = {2011},
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Miroslav Doupovec; Włodzimierz M. Mikulski. On iteration of higher order jets and prolongation of connections. Annales Polonici Mathematici, Tome 101 (2011) pp. 55-75. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap100-1-6/