Kolář, Ivan Induced connections on total spaces of fiber bundles. (English) Zbl 1197.53029 Int. J. Geom. Methods Mod. Phys. 7, No. 4, 705-711 (2010). A construction transforming a general connection \(\Gamma\) on a fibered manifold \(Y\rightarrow M\) and a classical connection \(\Lambda\) on its base \(M\) into a classical connection on the total space \(Y\) by means of a vertical parallelism \(\Phi\) and an auxiliary linear connection \(\Delta\) is presented. Relations to the theory of gauge-natural operators are discussed. Reviewer: Maido Rahula (Tartu) Cited in 1 ReviewCited in 2 Documents MSC: 53C05 Connections (general theory) 58A32 Natural bundles Keywords:connections in bundles; vertical parallelism; covariant differential; torsion; geodesics × Cite Format Result Cite Review PDF Full Text: DOI References: [1] DOI: 10.1007/978-94-017-2384-8 · doi:10.1007/978-94-017-2384-8 [2] J. Gancarzewicz, Horizontal lifts of linear connections to the natural vector bundles, Research Notes in Math. 121 (Pitman, 1985) pp. 318–341. [3] DOI: 10.1007/978-3-662-02950-3 · doi:10.1007/978-3-662-02950-3 [4] Sternberg S., Lectures on Differential Geometry (1964) · Zbl 0129.13102 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.