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 September 22, 2013 17:12:57 by Urs Schreiber (89.204.139.76)