Parallel transport

In mathematics, a parallel transport on a manifold M with specified connection is a way to transport vectors along smooth curves, in such a way that they stay "parallel" with respect to the given connection. A field on a smooth curve is called parallel if

for any t.

See also: Connection (mathematics), Covariant derivative

This article is a stub. You can help Wikipedia by [ expanding it].





Google
Home   Alphabetical Listing   Quote


This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.