[NetBehaviour] Riemann transported

Alan Sondheim sondheim at panix.com
Thu Sep 3 09:21:38 CEST 2009



Riemann transported

R sup alpha sub beta gamma delta equals capital gamma sup alpha sub beta
delta gamma minus capital gamma sup alpha sub beta gamma delta plus
capital gamma sup mu sub beta delta times capital gamma sup alpha sub mu
gamma minus capital gamma sup mu sub beta gamma times capital gamma sup
alpha sub mu delta.

In geometry, parallel transport of a vector is a way of transporting it
along smooth paths in a manifold. If the path is a closed curve and the
manifold is also curved, the vector doesn't return to itself. If the
manifold is curved, it can't be flattened.

At this point the narrative breaks off.

http://www.alansondheim.org/riemann.mov
http://www.alansondheim.org/riemann.jpg




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