## Abstract

The derivative strings of Barndorff-Nielsen and the differential strings of Blaesild & Mora are considered here from the coordinate-free viewpoint. It is shown that the derivative strings of given length and degree over a differentiable manifold form a vector bundle associated to a principal bundle of higher-order frames and that there is an analogous result for differential strings. Bundles of derivative strings are identified with vector bundles obtained from 0-truncated versions of Ehresmann's semi-holonomic jets by dualization and by taking tensor products. Similarly, bundles of differential strings are identified with vector bundles obtained from semi-holonomic jets of certain tensor fields.

Original language | English |
---|---|

Pages (from-to) | 89-98 |

Number of pages | 10 |

Journal | Proceedings of the Royal Society of London. Series A: Mathematical and physical sciences |

Volume | 436 |

Issue number | 1896 |

DOIs | |

Publication status | Published - 8 Jan 1992 |