{
  "id": "1407.0630",
  "version": "v2",
  "published": "2014-07-02T16:14:52.000Z",
  "updated": "2014-10-01T11:04:38.000Z",
  "title": "Scattering theory of the Hodge-Laplacian under a conformal perturbation",
  "authors": [
    "Francesco Bei",
    "Batu Güneysu",
    "Jörn Müller"
  ],
  "comment": "Some typos corrected",
  "categories": [
    "math.DG",
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "Let $g$ and $\\tilde{g}$ be Riemannian metrics on a noncompact manifold $M$, which are conformally equivalent. We show that under a very mild \\emph{first order} control on the conformal factor, the wave operators corresponding the Hodge-Laplacian $\\Delta_g$ and $\\Delta_{\\tilde{g}}$ acting on differential forms exist and are complete.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-02T16:14:52.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-01T11:04:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conformal perturbation",
      "scattering theory",
      "hodge-laplacian",
      "riemannian metrics",
      "noncompact manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.0630B"
    }
  }
}