Geodesic
Some functorial prolongations of general connections
Archivum mathematicum, Tome 54 (2018) no. 2, pp. 111-117

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MR Zbl
We consider the problem of prolongating general connections on arbitrary fibered manifolds with respect to a product preserving bundle functor. Our main tools are the theory of Weil algebras and the Frölicher-Nijenhuis bracket.
We consider the problem of prolongating general connections on arbitrary fibered manifolds with respect to a product preserving bundle functor. Our main tools are the theory of Weil algebras and the Frölicher-Nijenhuis bracket.
DOI : 10.5817/AM2018-2-111
Classification : 53C05, 58A20, 58A32
Keywords: general connection; tangent valued form; functorial prolongation; Weil functor 
Kolář, Ivan. Some functorial prolongations of general connections. Archivum mathematicum, Tome 54 (2018) no. 2, pp. 111-117. doi: 10.5817/AM2018-2-111
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[1] Cabras, A., Kolář, I.: Prolongation of tangent valued forms to Weil bundles. Arch. Math. (Brno) 31 (1995), 139–145. | MR

[2] Ehresmann, C.: Oeuvres complètes et commentés. Cahiers Topol. Géom. Diff. XXIV (Suppl. 1 et 2) (1983).

[3] Kolář, I.: Handbook of Global Analysis. ch. Weil Bundles as Generalized Jet Spaces, pp. 625–665, Elsevier, Amsterdam, 2008. | MR

[4] Kolář, I.: On the functorial prolongations of fiber bundles. Miskolc Math. Notes 14 (2013), 423–431. | DOI | MR

[5] Kolář, I.: Covariant Approach to Weil Bundles. Folia, Masaryk University, Brno (2016).

[6] Kolář, I., Michor, P.W., Slovák, J.: Natural Operations in Differential Geometry. Springer Verlag, 1993.

[7] Mangiarotti, L., Modugno, M.: Graded Lie algebras and connections on a fibered space. J. Math. Pures Appl. (9) 63 (1984), 111–120.

[8] Weil, A.: Théorie des points proches sur les variétes différentielles. Colloque de topol. et géom. diff., Strasbourg (1953), 111–117.

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