On the torsion of linear higher order connections

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Authors

KOLÁŘ Ivan

Year of publication 2003
Type Article in Periodical
Magazine / Source Central European Journal of Mathematics
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; integrability of G-structures
Description For a linear r-th order connection on the tangent bundle we characterize geometrically its integrability in the sense of the theory of higher order G-structures. Our main tool is a bijection between these connections and the principal connections on the r-th order frame bundle and the comparison of the torsions under both approaches.
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