Lecture

Differentiating Vector Fields: Definition

In course

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Description

This lecture covers the concept of differentiating vector fields along curves on manifolds with connections, introducing the definition of a smooth vector field along a curve and the unique operator satisfying specific properties. Examples and the covariant derivative induced by the connection are also discussed.

In MOOC

Instructor

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Official source

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

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Ontological neighbourhood

Mathematics

Geometry: Differential geometry

Analysis: Calculus

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