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

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

Loading...

Similar Threads - Relation between Frenet | Date |
---|---|

Hyperbolic geometry - relations between lines, curves, and hyperbolas | Dec 3, 2013 |

Relation between covariant differential and covariant derivative | Dec 1, 2013 |

Relation between parameters of a vector field and it's projection | Nov 16, 2013 |

Relation between det(spacetime metric) and det(spatial metric) | Sep 19, 2013 |

Do Manifolds have distance relations between points? | Mar 31, 2013 |

**Physics Forums - The Fusion of Science and Community**