On the curvature of Chern-Lagrange connection.
Aldea, Nicoleta (2001)
APPS. Applied Sciences
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Displaying similar documents to “Torsion, curvature and deflection -tensors on .”
On the curvature of Chern-Lagrange connection.
Invariant operations on manifolds with almost Hermitian symmetric structures. II: Normal Cartan connections.
Čap, A., Slovák, J., Souček, V. (1997)
Acta Mathematica Universitatis Comenianae. New Series
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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...
On the connections naturally induced on the second order frame bundle
Josef Janyška, Ivan Kolář (1986)
Archivum Mathematicum
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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.