Lecture
Taylor expansions: second order
Description
This lecture covers Taylor expansions and retractions on Riemannian manifolds, focusing on second-order approximations. It discusses the function value along a curve, covariant derivatives, and the chain rule. The instructor introduces the unique operator satisfying specific properties and explores the compatibility of metrics. The lecture concludes with a theorem on smooth functions and curves, emphasizing the importance of second-order approximations.
Official source
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