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https://doi.org/10.1142/978981...

Article . 2008 . Peer-reviewed

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Connections on principal prolongations of principal bundles

Name: Connections on principal prolongations of principal bundles
Creator: Ivan Kolář
Keywords: 0103 physical sciences, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jul 2008Publisher:World Scientific Pub Co Pte LtdJournal:Differential Geometry and Its Applications

Authors: Ivan Kolář;

doi: 10.1142/9789812790613_0024

Connections on principal prolongations of principal bundles

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Abstract

We study the principal connections on the r-th principal prolongation of a principal bundle by using the related Lie algebroids. We deduce that both approaches to the concept of torsion are naturally equivalent. Special attention is paid to the flow prolongation of connections.

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Masaryk University
Czech Republic

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