Publication details

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 KOLÁŘ, Ivan. On the torsion of linear higher order connections. Central European Journal of Mathematics. 2003, vol. 3, No 3, p. 360-366. ISSN 1895-1074.
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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