Difference between revisions of "Geodesic for a linear connection"
(Created page with "==Definition== ===Given data=== * A connected differential manifold <math>M</math> with tangent bundle denoted by <math>TM</math>. * A [[defining ingredient::linear ...")
Revision as of 21:13, 6 January 2012
Consider a smooth curve . Consider the connection along induced by , and consider the transport along for that connection. Then, we say that is a geodesic for if, under that transport, the tangent vector at gets transported, at time , to the tangent vector at .