On the torsion-free connections on higher order frame bundles

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Authors	KOLÁŘ Ivan
Year of publication	2005
Type	Article in Periodical
Magazine / Source	Publicationes Mathematicae
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	linear r-th order connection on the tangent bundle; principal connection on the r-th order frame bundle; torsion
Description	Using the r-jets of flows of vector fields, we show that every torsion-free linear r-th order connection on the tangent bundle of a manifold M determines a reduction of the (r+1)-st order frame bundle of M to the general linear group. We deduce that this reduction coincides with another reduction constructed earlier.
Related projects:	Mathematical structures and their physical applications Mathematical structures of algebra and geometry