{
  "id": "1308.6123",
  "version": "v2",
  "published": "2013-08-28T10:37:17.000Z",
  "updated": "2014-06-15T17:42:34.000Z",
  "title": "Warped Poisson Brackets on Warped Products",
  "authors": [
    "Yacine Aït Amrane",
    "Rafik Nasri",
    "Ahmed Zeglaoui"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we generalize the geometry of the product pseudo-Riemannian manifold equipped with the product Poisson structure (\\cite{Nas2}) to the geometry of a warped product of pseudo-Riemannian manifolds equipped with a warped Poisson structure. We construct three bivector fields on a product manifold and show that each of them lead under certain conditions to a Poisson structure. One of these bivector fields will be called the warped bivector field. For a warped product of pseudo-Riemannian manifolds equipped with a warped bivector field, we compute the corresponding contravariant Levi-Civita connection and the curvatures associated with.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-15T17:42:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C15",
      "53D17"
    ],
    "keywords": [
      "warped product",
      "warped poisson brackets",
      "warped bivector field",
      "pseudo-riemannian manifolds",
      "product poisson structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.6123A"
    }
  }
}