Geodesic
Lifting of linear vector fields to fiber product preserving vertical gauge bundles
J. Kurek 1   ; W. M. Mikulski 2
1 Institute of Mathematics Maria Curie-Skłodowska University Pl. Marii Curie-Skłodowskiej 1 20-031 Lublin, Poland
2 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 33-40 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We classify all natural operators lifting linear vector fields on vector bundles to vector fields on vertical fiber product preserving gauge bundles over vector bundles. We explain this result for some known examples of such bundles.
DOI : 10.4064/cm103-1-5
Keywords: classify natural operators lifting linear vector fields vector bundles vector fields vertical fiber product preserving gauge bundles vector bundles explain result known examples bundles

J. Kurek  1   ; W. M. Mikulski  2

1 Institute of Mathematics Maria Curie-Skłodowska University Pl. Marii Curie-Skłodowskiej 1 20-031 Lublin, Poland
2 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland 
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 fiber product preserving vertical gauge bundles
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J. Kurek; W. M. Mikulski. Lifting of linear vector fields to
 fiber product preserving vertical gauge bundles. Colloquium Mathematicum, Tome 103 (2005) no. 1, pp. 33-40. doi: 10.4064/cm103-1-5

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