{
  "id": "1501.01622",
  "version": "v1",
  "published": "2015-01-07T20:55:19.000Z",
  "updated": "2015-01-07T20:55:19.000Z",
  "title": "Harmonic vector fields on pseudo-Riemannian manifolds",
  "authors": [
    "R. M. Friswell",
    "C. M. Wood"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "The theory of harmonic vector fields on Riemannian manifolds is generalised to pseudo-Riemannian manifolds. Harmonic conformal gradient fields on pseudo-Euclidean hyperquadrics are classified up to congruence, as are harmonic Killing fields on pseudo-Riemannian quadrics. A para-Kaehler twisted anti-isometry is be used to correlate harmonic vector fields on the quadrics of neutral signature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-07T20:55:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C07",
      "53C20",
      "53C43",
      "53C50",
      "58E20",
      "58E30"
    ],
    "keywords": [
      "pseudo-riemannian manifolds",
      "correlate harmonic vector fields",
      "harmonic conformal gradient fields",
      "neutral signature",
      "para-kaehler twisted anti-isometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150101622F"
    }
  }
}