On the integrability of geodesic flows of submersion metrics

Details On the integrability of geodesic flows of submersion metrics On the integrability of geodesic flows of submersion metrics

2002-04-25

arxiv.org/abs/math-ph/0204048v2

Letters in Mathematical Physics, 61:29-39, 2002

Physics

Mathematical Physics

10 pages, minor changes

Scientific paper

Suppose we are given a compact Riemannian manifold (Q,g)with completely integrable geodesic flow. Let G be a compact connected Lie group acting freely on Q by isometries. The natural question arises: will the geodesic flow on Q/G equipped with the submersion metric be integrable? Under one natural assumption, we prove that the answer is affirmative. New examples of manifolds with completely integrable geodesic flows are obtained.

Affiliated with

Also associated with

No associations

Rating

On the integrability of geodesic flows of submersion metrics 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 On the integrability of geodesic flows of submersion metrics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the integrability of geodesic flows of submersion metrics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-98853