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Published online by Cambridge University Press: 28 October 2019
In this chapter we introduce "Ehresmann connections,"with their associated notions of parallel transportand curvature. We then specify these notions in thecase of a Riemannian manifold, where one can find acanonical connection associated with the metricstructure, called Levi–Civita connection. We thenexplain how this connection is related to the theoryof Jacobi curves developed in the previouschapter.
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