On the torsion of linear higher order connections
Authors | |
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Year of publication | 2003 |
Type | Article in Periodical |
Magazine / Source | Central European Journal of Mathematics |
MU Faculty or unit | |
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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