On the curvature of tensor product connections and covariant differentials
Janyška, Josef
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Displaying similar documents to “Connections with prescribed curvature”
On the curvature of tensor product connections and covariant differentials
Natural operators in the view of Cartan geometries
Martin Panák (2003)
Archivum Mathematicum
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We prove, that -th order gauge natural operators on the bundle of Cartan connections with a target in the gauge natural bundles of the order (“tensor bundles”) factorize through the curvature and its invariant derivatives up to order . On the course to this result we also prove that the invariant derivations (a generalization of the covariant derivation for Cartan geometries) of the curvature function of a Cartan connection have the tensor character. A modification of the theorem...
Curvature of lift spaces
Aleksander Całka (1981)
Colloquium Mathematicae
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Some remarks on the Cristoffel symbols of Ehresmann E-connection.
Ercüment Ortaçgil (1996)
Extracta Mathematicae
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We study the relations between torsion, curvature, local flatness and simplicity within the framework of E-connections by means of explicit formulas in terms of the Christoffel symbols of the given E-connection.