On the stability of Mañé critical hypersurfaces

Details On the stability of Mañé critical hypersurfaces On the stability of Mañé critical hypersurfaces

2009-10-29

arxiv.org/abs/0910.5728v1

Mathematics

Dynamical Systems

13 pages, 4 figures

Scientific paper

We construct examples of Tonelli Hamiltonians on $\T^n$ (for any $n\geq 2$)
such that the hypersurfaces corresponding to the Ma\~n\'e critical value are
stable (i.e. geodesible). We also provide a criterion for instability in terms
of closed orbits in free homotopy classes and we show that any stable energy
level of a Tonelli Hamiltonian must contain a closed orbit.

Affiliated with

Also associated with

No associations

Rating

On the stability of Mañé critical hypersurfaces 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 stability of Mañé critical hypersurfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the stability of Mañé critical hypersurfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-88667