Lecture

Connections: motivation and definition

In course

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Description

This lecture discusses the need for a new derivative for vector fields on manifolds, presenting the definition of a connection as a map that satisfies specific properties. It explores the Leibniz rule and the characteristics of a good derivative, emphasizing the importance of connections in defining smooth vector fields on manifolds.

Official source

https://mediaspace.epfl.ch/media/0_nwxhgl1g

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Ontological neighbourhood

Mathematics

Geometry: Differential geometry

Analysis: Calculus

Information engineering

Natural language processing: Topics in natural language processing

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