Skip to main content Accessibility help
×
Home
  • Print publication year: 2019
  • Online publication date: October 2019

16 - Riemannian Curvature

Summary

In this chapter we introduce "Ehresmann connections," with their associated notions of parallel transport and curvature. We then specify these notions in the case of a Riemannian manifold, where one can find a canonical connection associated with the metric structure, called Levi–Civita connection. We then explain how this connection is related to the theory of Jacobi curves developed in the previous chapter.

Related content

Powered by UNSILO