Torsion has propped up in a couple of recent threads, but none of my texts really cover it well.(adsbygoogle = window.adsbygoogle || []).push({});

Does torsion make parallel transport direction dependent? I.e. if we parallel transport some vector v "forwards" along a curve, and then "backwards" along the very same curve to its starting point, do the non-commuting Christoffel symbols wind up making the vector v different than it was when it started?

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# Does torsion make parallel transport direction dependent?

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