nLab
affine connection

Context

\infty-Chern-Weil theory

Differential cohomology

Contents

Definition

An affine connection \nabla on a smooth manifold MM is a connection on the frame bundle FMF M of MM, i.e., the principal bundle of frames in the tangent bundle TMT M.

The components of the local Lie-algebra valued 1-form of an affine connection are called Christoffel symbols.

References

Revised on May 5, 2015 21:00:55 by Toby Bartels (64.89.58.198)