In covariant derivative, we have a quantity called affinity.(adsbygoogle = window.adsbygoogle || []).push({});

The book says: When defining an affine connection, a coordinate frame must first be selected and the choice of the components of the affinity is then arbitrary within this frame. However, when these are all determined, the component of the affinity with respect to any other frame are completely fixed by the transformation law.

My question is why can the components be arbitrarily chosen?

Thank you very much!!

**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!

# Why can the affinity connection be arbituarily chosen?

Loading...

Similar Threads - affinity connection arbituarily | Date |
---|---|

I Example of computing geodesics with 2D polar coordinates | Aug 6, 2016 |

Non-affine Connections | Nov 5, 2014 |

Lie groups, Affine Connections | Nov 6, 2009 |

Torsion, affine development and Levi-Civita connection | Nov 16, 2008 |

Affine Connection | Feb 18, 2008 |

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