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.
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