Hi, I was wondering if anyone could help me with this differential geometry question I've been struggling to find information on.(adsbygoogle = window.adsbygoogle || []).push({});

I (at least very roughly) understand the relationship between the Frenet-Serret curvature of a curve and the Riemann curvature of a general n-dimensional manifold: the curvature tensor is determined by the sectional curvatures of 2-D slices through the manifold, and Gauss's theorem relates these sectional curvatures to the curvature of curves along the two principal directions of the 2-D surface.

What I was wondering was is there a similar geometric relationship between the Frenet-Serret torsion of curves and the torsion tensor for a general manifold, and if so are there any good sources for reading about it?

Thanks,

Lucy

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# Relation between Frenet-Serret torsion and the torsion tensor?

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