Displaying similar documents to “Equivariant cohomology of the skyrmion bundle”

Natural operators in the view of Cartan geometries

Martin Panák (2003)

Archivum Mathematicum

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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...

Natural affinors on the extended r -th order tangent bundles

Gancarzewicz, Jacek, Kolář, Ivan

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The authors prove that all natural affinors (i.e. tensor fields of type (1,1) on the extended r -th order tangent bundle E r M over a manifold M ) are linear combinations (the coefficients of which are smooth functions on ℛ ) of four natural affinors defined in this work.