Derivative strings, differential strings and semiholonomic jets

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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 languageEnglish
Pages (from-to)89-98
Number of pages10
JournalProceedings of the Royal Society of London. Series A: Mathematical and physical sciences
Volume436
Issue number1896
DOIs
Publication statusPublished - 8 Jan 1992

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