Message-ID: <Pine.NEB.4.64.0909030321000.13928@panix3.panix.com>
From: Alan Sondheim <sondheim@panix.com>
To: Cyb <cybermind@listserv.aol.com>, Wryting-L <WRYTING-L@listserv.wvu.edu>
Subject: Riemann transported
Date: Thu, 3 Sep 2009 03:21:11 -0400 (EDT)
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