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Flat connection

From Encyclopedia of Mathematics
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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