Geodesic Reduction via Frame Bundle Geometry

Details Geodesic Reduction via Frame Bundle Geometry Geodesic Reduction via Frame Bundle Geometry

2010-02-22

arxiv.org/abs/1002.4156v1

SIGMA 6 (2010), 020, 17 pages

Mathematics

Differential Geometry

Scientific paper

10.3842/SIGMA.2010.020

A manifold with an arbitrary affine connection is considered and the geodesic spray associated with the connection is studied in the presence of a Lie group action. In particular, results are obtained that provide insight into the structure of the reduced dynamics associated with the given invariant affine connection. The geometry of the frame bundle of the given manifold is used to provide an intrinsic description of the geodesic spray. A fundamental relationship between the geodesic spray, the tangent lift and the vertical lift of the symmetric product is obtained, which provides a key to understanding reduction in this formulation.

Affiliated with

Also associated with

No associations

Rating

Geodesic Reduction via Frame Bundle Geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geodesic Reduction via Frame Bundle Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geodesic Reduction via Frame Bundle Geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-373973