Some variations on the notion of connection

@article{Modugno1994SomeVO,
  title={Some variations on the notion of connection},
  author={Marco Modugno and Alexandre M. Vinogradov},
  journal={Annali di Matematica Pura ed Applicata},
  year={1994},
  volume={167},
  pages={33-71}
}
Distributions on manifolds are studied in terms of jets of submanifolds and are interpreted as «pre-connections» or «almost-fibrings»; the associated differential calculus is developed in detail. A comparison with connections on fibred manifolds is analysed. Moreover, «higher order pre-connections», defined as pre-connections dependent on jets of arbitrary order, are introduced and studied. It is shown that infinite jets play an essential role in the associated differential calculus. 
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24 Citations
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24 Citations

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