affine connection

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.

- wikipedia affine connection
- eom affine connection
- А.П. Норден,
*Пространства аффинной связности*, 1976, djvu

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