On no-holonomic second-order connections with applications to continua with microstructure.
Marek Elzanowski, Serge Preston (1996)
Extracta Mathematicae
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Displaying similar documents to “Some remarks on the Cristoffel symbols of Ehresmann E-connection.”
On no-holonomic second-order connections with applications to continua with microstructure.
On the connections naturally induced on the second order frame bundle
Josef Janyška, Ivan Kolář (1986)
Archivum Mathematicum
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G-connections as twisted formal solutions of systems of PDE's related to geometric structures
Ortaçgil, Ercüment
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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...