{
  "id": "0908.0483",
  "version": "v2",
  "published": "2009-08-04T16:19:22.000Z",
  "updated": "2009-11-10T09:30:22.000Z",
  "title": "Conformal Structures Associated to Generic Rank 2 Distributions on 5-Manifolds - Characterization and Killing-Field Decomposition",
  "authors": [
    "Matthias Hammerl",
    "Katja Sagerschnig"
  ],
  "comment": "Misprints in Theorem B are corrected",
  "journal": "SIGMA 5 (2009), 081, 29 pages",
  "doi": "10.3842/SIGMA.2009.081",
  "categories": [
    "math.DG"
  ],
  "abstract": "Given a maximally non-integrable 2-distribution ${\\mathcal D}$ on a 5-manifold $M$, it was discovered by P. Nurowski that one can naturally associate a conformal structure $[g]_{\\mathcal D}$ of signature (2,3) on $M$. We show that those conformal structures $[g]_{\\mathcal D}$ which come about by this construction are characterized by the existence of a normal conformal Killing 2-form which is locally decomposable and satisfies a genericity condition. We further show that every conformal Killing field of $[g]_{\\mathcal D}$ can be decomposed into a symmetry of ${\\mathcal D}$ and an almost Einstein scale of $[g]_{\\mathcal D}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-11-10T09:30:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conformal structures",
      "generic rank",
      "killing-field decomposition",
      "characterization",
      "distributions"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2009,
      "month": "Aug",
      "volume": 5,
      "pages": "081"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009SIGMA...5..081H"
    }
  }
}