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