Lecture

Comparing Tangent Vectors: Parallel Transport

In course

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Description

This lecture discusses the concept of comparing tangent vectors in linear spaces and manifolds. It explains how to move a vector from one point to another, ensuring it plays the same role. The instructor introduces the idea of parallel transport and covariant derivatives to define a unique vector field along a curve, leading to the transport of a vector from one point to another.

In MOOC

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_wrvp2pjq

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Ontological neighbourhood

Mathematics

Geometry: Differential geometry

Algebra: Linear algebra

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