A remark on the topology of higher order frames

Ortaçgil, Ercüment

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G-connections as twisted formal solutions of systems of PDE's related to geometric structures

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Martin Panák (2003)

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We prove, that $r$ -th order gauge natural operators on the bundle of Cartan connections with a target in the gauge natural bundles of the order $(1, 0)$ (“tensor bundles”) factorize through the curvature and its invariant derivatives up to order $r - 1$ . 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...