Difference between revisions of "Flat connection"
From Encyclopedia of Mathematics
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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. | 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]]. | Flat connection has zero [[curvature]]. | ||
Latest revision as of 08:58, 12 December 2013
2020 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=26434
Flat connection. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Flat_connection&oldid=26434