{
  "id": "math/0206117",
  "version": "v1",
  "published": "2002-06-11T16:07:49.000Z",
  "updated": "2002-06-11T16:07:49.000Z",
  "title": "Conformal Killing forms on Riemannian manifolds",
  "authors": [
    "U. Semmelmann"
  ],
  "comment": "24 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "Conformal Killing forms are a natural generalization of conformal vector fields on Riemannian manifolds. They are defined as sections in the kernel of a conformally invariant first order differential operator. We show the existence of conformal Killing forms on nearly Kaehler and weak G_2-manifolds. Moreover, we give a complete description of special conformal Killing forms. A further result is a sharp upper bound on the dimension of the space of conformal Killing forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-11T16:07:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55",
      "58J50"
    ],
    "keywords": [
      "riemannian manifolds",
      "invariant first order differential operator",
      "conformally invariant first order differential",
      "special conformal killing forms",
      "sharp upper bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6117S"
    }
  }
}