{
  "id": "0810.1366",
  "version": "v1",
  "published": "2008-10-08T07:05:30.000Z",
  "updated": "2008-10-08T07:05:30.000Z",
  "title": "Cotangent Bundles with General Natural Kahler Structures",
  "authors": [
    "S. L. Druta"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study the conditions under which an almost Hermitian structure $(G,J)$ of general natural lift type on the cotangent bundle $T^*M$ of a Riemannian manifold $(M,g)$ is K\\\" ahlerian. First, we obtain the algebraic conditions under which the manifold $(T^*M,G,J)$ is almost Hermitian. Next we get the integrability conditions for the almost complex structure $J$, then the conditions under which the associated 2-form is closed. The manifold $(T^*M,G,J)$ is K\\\" ahlerian iff it is almost Kahlerian and the almost complex structure $J$ is integrable. It follows that the family of Kahlerian structures of above type on $T^*M$ depends on three essential parameters (one is a certain proportionality factor, the other two are parameters involved in the definition of $J$).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-08T07:05:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C07",
      "53C15",
      "53C55"
    ],
    "keywords": [
      "general natural kahler structures",
      "cotangent bundle",
      "general natural lift type",
      "conditions",
      "complex structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.1366D"
    }
  }
}