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Displaying similar documents to “Prolongation of linear semibasic tangent valued forms to product preserving gauge bundles of vector bundles.”

On the functorial prolongations of principal bundles

Ivan Kolář, Antonella Cabras (2006)

Commentationes Mathematicae Universitatis Carolinae

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We describe the fundamental properties of the infinitesimal actions related with functorial prolongations of principal and associated bundles with respect to fiber product preserving bundle functors. Our approach is essentially based on the Weil algebra technique and an original concept of weak principal bundle.

On the geometry of vertical Weil bundles

Ivan Kolář (2014)

Archivum Mathematicum

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We describe some general geometric properties of the fiber product preserving bundle functors. Special attention is paid to the vertical Weil bundles. We discuss namely the flow natural maps and the functorial prolongation of connections.

Natural transformations between T²₁T*M and T*T²₁M

Miroslav Doupovec (1991)

Annales Polonici Mathematici

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We determine all natural transformations T²₁T*→ T*T²₁ where T k r M = J 0 r ( k , M ) . We also give a geometric characterization of the canonical isomorphism ψ₂ defined by Cantrijn et al.