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- W2164346501 abstract "The derivative strings of Barndorff-Nielsen and the differential strings of Blӕsild & 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." @default.
- W2164346501 created "2016-06-24" @default.
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- W2164346501 date "1992-01-08" @default.
- W2164346501 modified "2023-09-26" @default.
- W2164346501 title "Derivative strings, differential strings and semi-holonomic jets" @default.
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- W2164346501 doi "https://doi.org/10.1098/rspa.1992.0006" @default.
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