Connections on principal prolongations of principal bundles

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Authors

KOLÁŘ Ivan

Year of publication 2008
Type Article in Proceedings
Conference Sborník konference DGA 10
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords principal prolongation; gauge theory; connection; torsion; Lie algebroid
Description 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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