Natural operators in the view of Cartan geometries

Martin Panák

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Displaying similar documents to “Natural operators in the view of Cartan geometries”

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Jan Vondra (2014)

Archivum Mathematicum

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We consider a vector bundle $E \to M$ and the principal bundle $P E$ of frames of $E$ . We determine all natural transformations of the connection bundle of the first order principal prolongation of principal bundle $P E$ into itself.

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Čap, A., Slovák, J., Souček, V. (1997)

Acta Mathematica Universitatis Comenianae. New Series

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Connections on higher order principal prolongations

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Geometric constructions of connections on the higher order principal prolongations of a principal bundle are considered. Moreover, the existing differences among connections on non-holonomic, semiholonomic and holonomic principal prolongations are discussed.