# Flat connection

From Encyclopedia of Mathematics

2010 Mathematics Subject Classification: *Primary:* 53C05 [MSN][ZBL]

A connection on a fiber bundle, which generates the parallel transport between close fibers in a way independent of the path connecting the corresponding base points.

Flat connection has zero curvature.

**How to Cite This Entry:**

Flat connection.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Flat_connection&oldid=30965