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.
Related projects:	Mathematical structures and their physical applications Geometric structures on fibered manifolds