Periodic orbits of Hamiltonian flows near symplectic critical submanifolds
Abstract
In this paper we produce a lower bound for the number of periodic orbits of certain Hamiltonian vector fields near Bott-nondegenerate symplectic critical submanifolds. This result is then related to the problem of finding closed orbits of the motion of a charged low energy particle on a Riemannian manifold under the influence of a magnetic field
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- March 1999
- DOI:
- 10.48550/arXiv.math/9903100
- arXiv:
- arXiv:math/9903100
- Bibcode:
- 1999math......3100K
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematics - Symplectic Geometry