Geodesic
On iteration of higher order jets and prolongation of connections
Miroslav Doupovec1 ; W/lodzimierz M. Mikulski2
1 Department of Mathematics Brno University of Technology FSI VUT, Technická 2 616 69 Brno, Czech Republic
2 Institute of Mathematics Jagiellonian University /Lojasiewicza 6 30-348 Krak/ow, Poland
Annales Polonici Mathematici, Tome 100 (2011) no. 1, pp. 55-75

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap100-1-6
Keywords: introduce exchange natural equivalences iterated nonholonomic holonomic semiholonomic jet functors depending classical linear connection base manifold classify natural transformations type application introduce prolongation higher order connections jet bundles

Miroslav Doupovec 1 ; W/lodzimierz M. Mikulski 2

1 Department of Mathematics Brno University of Technology FSI VUT, Technická 2 616 69 Brno, Czech Republic
2 Institute of Mathematics Jagiellonian University /Lojasiewicza 6 30-348 Krak/ow, Poland 
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 prolongation of connections},
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 prolongation of connections
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Miroslav Doupovec; W/lodzimierz M. Mikulski. On iteration of higher order jets and
 prolongation of connections. Annales Polonici Mathematici, Tome 100 (2011) no. 1, pp. 55-75. doi: 10.4064/ap100-1-6

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