nLab affine connection

Context

Differential cohomology

differential cohomology

Contents

Definition

An affine connection $\nabla$ on a smooth manifold $M$ is a connection on the frame bundle $F M$ of $M$, i.e., the principal bundle of frames in the tangent bundle $T M$.

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

References

• wikipedia affine connection

• А.П. Норден, Пространства аффинной связности, 1976, djvu

Last revised on May 5, 2015 at 21:00:55. See the history of this page for a list of all contributions to it.