{
  "id": "1903.06734",
  "version": "v1",
  "published": "2019-03-15T18:25:03.000Z",
  "updated": "2019-03-15T18:25:03.000Z",
  "title": "Conformal Killing forms on nearly Kähler manifolds",
  "authors": [
    "Antonio M. Naveira",
    "Uwe Semmelmann"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study conformal Killing forms on compact 6-dimensional nearly K\\\"ahler manifolds. Our main result concerns forms of degree 3. Here we give a classification showing that all conformal Killing 3-forms are linear combinations of $d \\omega$ and its Hodge dual $* d\\omega$ where $\\omega$ is the fundamental 2-form of the nearly K\\\"ahler structure. The proof is based on a fundamental integrability condition for conformal Killing forms. We have partial results in the case of conformal Killing 2-forms. In particular we show the non-existence of J-anti-invariant Killing 2-forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-15T18:25:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C10",
      "53C15",
      "58J50"
    ],
    "keywords": [
      "kähler manifolds",
      "main result concerns forms",
      "study conformal killing forms",
      "fundamental integrability condition",
      "partial results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}