{
  "id": "math/0101212",
  "version": "v1",
  "published": "2001-01-25T18:46:30.000Z",
  "updated": "2001-01-25T18:46:30.000Z",
  "title": "Scattering theory for p-forms on hyperbolic real space",
  "authors": [
    "Francesca Antoci"
  ],
  "comment": "LaTeX, 10 pages",
  "categories": [
    "math.DG",
    "math.SP"
  ],
  "abstract": "Due to spectral obstructions, a scattering theory in the Lax-Phillips sense for the wave equation for differential p-forms on H^{n+1} cannot be developed. As a consequence, Huygens' principle for the wave equation in this context does not hold. If we restrict the class of forms and we consider the case of coclosed p-forms on H^{n+1}, when n=2p, Huygens' principle does hold and thus in this case incoming and outgoing subspaces can be constructed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-01-25T18:46:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58G25",
      "35P25"
    ],
    "keywords": [
      "hyperbolic real space",
      "scattering theory",
      "wave equation",
      "spectral obstructions",
      "lax-phillips sense"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......1212A"
    }
  }
}