Lecture

Tangent spaces: Linearization of Embedded Submanifolds

In course

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Description

This lecture delves into the concept of tangent spaces as collections of free directions of movement on embedded submanifolds. The instructor explains how the kernel of the differential of a local defining function at a point captures the idea of linearization, providing a geometrically satisfying notion of linearization for embedded submanifolds.

Official source

https://mediaspace.epfl.ch/media/0_89vzx4uj

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Ontological neighbourhood

Mathematics

Geometry: Euclidean geometry, Differential geometry

Algebra: Linear algebra

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