Abstract
In this chapter we shall describe several different notions of connection. As well as introducing connections on Lie groupoids (path connections) and on Lie algebroids (infinitesimal connections) we shall see how these ideas are related to the classical concepts of covariant derivatives and, more generally, connections on vector bundles.
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- 1.
We have temporarily suspended our convention that \(n = \dim M\), and for the rest of this section we shall use n as an arbitrary integer.
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Crampin, M., Saunders, D. (2016). Connections on Lie Groupoids and Lie Algebroids. In: Cartan Geometries and their Symmetries. Atlantis Studies in Variational Geometry, vol 4. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-192-5_2
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DOI: https://doi.org/10.2991/978-94-6239-192-5_2
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Publisher Name: Atlantis Press, Paris
Print ISBN: 978-94-6239-191-8
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