{
  "id": "math/9903100",
  "version": "v2",
  "published": "1999-03-17T03:32:37.000Z",
  "updated": "1999-03-18T03:43:48.000Z",
  "title": "Periodic orbits of Hamiltonian flows near symplectic critical submanifolds",
  "authors": [
    "Ely Kerman"
  ],
  "categories": [
    "math.DG",
    "math.SG"
  ],
  "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",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-03-18T03:43:48.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "periodic orbits",
      "hamiltonian flows",
      "charged low energy particle",
      "bott-nondegenerate symplectic critical submanifolds",
      "hamiltonian vector fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......3100K"
    }
  }
}