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On the torsion of linear higher order connections
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Rok publikování | 2003 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Central European Journal of Mathematics |
Fakulta / Pracoviště MU | |
Citace | KOLÁŘ, Ivan. On the torsion of linear higher order connections. Central European Journal of Mathematics. 2003, roč. 3, č. 3, s. 360-366. ISSN 1895-1074. |
Obor | Obecná matematika |
Klíčová slova | linear r-th order connection on the tangent bundle; principal connection on the r-th order frame bundle; torsion; integrability of G-structures |
Popis | 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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