Lecture
Exponential Map and Curvature Tensor
Description
This lecture covers the exponential map, Riemann normal coordinates, covariant derivatives, connection coefficients, parallel transport, Levi-Civita connection, geodesics, and the Riemann curvature tensor. It explains how the covariant derivatives do not commute in the presence of curvature and introduces Riemann normal coordinates to define a coordinate system in the neighborhood of a point.
Official source
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