Lecture

Retractions vector fields and tangent bundles: Tangent bundles

In course

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Description

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.

In MOOC

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_tn1s36vk

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Mathematics

Geometry: Differential geometry

Algebra: Linear algebra

Mathematical logic: Set theory

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