Use of the Moment Map in Geodesic Calculus
Thursday, April 21, 2016
We show how the use of Moment Map can simplify noticeably some proofs in computing geodesics. In partcular to show that a geodesic which is orthogonal to an orbit of a group of isometries at one point is orthogonal at every point to the orbits. And also to show that for some particular class of metrics on a principal fiber bundles the fibers are totally geodesic. Ref.