Invariant characterization of Liouville metrics and polynomial integrals

Details Invariant characterization of Liouville metrics and polynomial integrals Invariant characterization of Liouville metrics and polynomial integrals

2007-09-04

arxiv.org/abs/0709.0423v1

Mathematics

Differential Geometry

Scientific paper

10.1016/j.geomphys.2008.03.005

A criterion in terms of differential invariants for a metric on a surface to be Liouville is established. Moreover, in this paper we completely solve in invariant terms the local mobility problem of a 2D metric, considered by Darboux: How many quadratic in momenta integrals does the geodesic flow of a given metric possess? The method is also applied to recognition of other polynomial integrals of geodesic flows.

Affiliated with

Also associated with

No associations

Rating

Invariant characterization of Liouville metrics and polynomial integrals 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 Invariant characterization of Liouville metrics and polynomial integrals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Invariant characterization of Liouville metrics and polynomial integrals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-414581