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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 covers the concepts of retractions and tangent bundles on manifolds. It explains the definition of a retraction as a smooth map and the construction of the tangent bundle of a manifold. The lecture also discusses embedded submanifolds, defining functions, and the properties of tangent spaces. The instructor provides proofs and examples to illustrate the theoretical concepts.