Lecture

Smooth Manifolds: Diffeomorphisms

In course

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Description

This lecture explores the concept of smooth manifolds through diffeomorphisms, focusing on embedded submanifolds of a linear space. It covers the definition of embedded submanifolds, diffeomorphisms, and the conditions for a manifold to be embedded. The lecture also delves into the linearization of manifolds around specific points using diffeomorphisms.

In MOOC

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_db0pw7a5

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Geometry: Differential geometry

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