On the torsion-free connections on higher order frame bundles
| Authors | |
|---|---|
| Year of publication | 2005 |
| Type | Article in Periodical |
| Magazine / Source | Publicationes Mathematicae |
| MU Faculty or unit | |
| 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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