On canonical constructions on connections

Jan Kurek; Włodzimierz Mikulski

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 70 (2016), / Harvested from The Polish Digital Mathematics Library

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Résumé

We study how a projectable general connection $Γ$ in a 2-fibred manifold $Y^{2} \to Y^{1} \to Y^{0}$ and a general vertical connection $Θ$ in $Y^{2} \to Y^{1} \to Y^{0}$ induce a general connection $A (Γ, Θ)$ in $Y^{2} \to Y^{1}$ .

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:289790

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     author = {Jan Kurek and W\l odzimierz Mikulski},
     title = {On canonical constructions on connections},
     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {70},
     year = {2016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2016_70_1_27}
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Jan Kurek; Włodzimierz Mikulski. On canonical constructions on connections. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 70 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2016_70_1_27/

Bibliographie

Kolar, I., Michor, P. W., Slovak, J., Natural Operations in Differential Geometry, Springer-Verlag, Berlin, 1993.