Lecture

Parallel Transport and Geodesics

In course

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Description

This lecture covers the concept of parallel transport, explaining how to transport a vector along a curve by imposing that the covariant derivative vanishes. It also delves into geodesics, which are time-like curves that maximize proper time between two points. The instructor discusses the Levi-Civita connection, torsion, and the unique properties of a connection that is torsion-free and metric-compatible.

Official source

https://mediaspace.epfl.ch/media/0_ii7xl09h

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Ontological neighbourhood

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