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Lecture
Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
This lecture introduces the concept of acceleration along a curve on a manifold induced by a connection, defining it as the covariant derivative of the curve's velocity. It explains how a curve with zero acceleration for all times is called a geodesic, generalizing the notion of straight lines to manifolds, illustrated with the example of a great circle on a sphere.