Lecture
Retractions, vector fields and tangent bundles: Retractions and vector fields
Description
This lecture covers the concept of retractions as smooth maps from the tangent bundle to the manifold, providing examples on Euclidean and spherical manifolds. It also introduces vector fields on manifolds, defining them as maps that assign a tangent vector to each point on the manifold, and discussing their smoothness and extension properties.
Official source
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