{
  "id": "math/0106101",
  "version": "v1",
  "published": "2001-06-13T08:08:18.000Z",
  "updated": "2001-06-13T08:08:18.000Z",
  "title": "Harmonic morphisms with one-dimensional fibres on Einstein manifolds",
  "authors": [
    "Radu Pantilie",
    "John C. Wood"
  ],
  "comment": "Latex 2e, 21 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove that, from an Einstein manifold of dimension greater than or equal to five, there are just two types of harmonic morphism with one-dimensional fibres. This generalizes a result of R.L. Bryant who obtained the same conclusion under the assumption that the domain has constant curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-06-13T08:08:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58E20",
      "53C43"
    ],
    "keywords": [
      "einstein manifold",
      "one-dimensional fibres",
      "harmonic morphism",
      "dimension greater",
      "constant curvature"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......6101P"
    }
  }
}