The Symplectic Normal Space of a Cotangent-Lifted Action

Details The Symplectic Normal Space of a Cotangent-Lifted Action The Symplectic Normal Space of a Cotangent-Lifted Action

2005-01-13

arxiv.org/abs/math/0501207v2

Diff. Geom. App. 26 3 (2008) 277-297

Mathematics

Symplectic Geometry

Replaced with partially rewritten version. Exposition and results are improved and some mistakes fixed

Scientific paper

For the cotangent bundle of a smooth Riemannian manifold acted upon by the lift of a smooth and proper action by isometries of a Lie group, we characterize the symplectic normal space at any point. We show that this space splits as the direct sum of the cotangent bundle of a linear space and a symplectic linear space coming from reduction of a coadjoint orbit. This characterization of the symplectic normal space can be expressed solely in terms of the group action on the base manifold and the coadjoint representation. Some relevant particular cases are explored.

Affiliated with

Also associated with

No associations

Rating

The Symplectic Normal Space of a Cotangent-Lifted Action 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 The Symplectic Normal Space of a Cotangent-Lifted Action, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Symplectic Normal Space of a Cotangent-Lifted Action will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-274465