{
  "id": "1507.03038",
  "version": "v1",
  "published": "2015-07-10T22:10:34.000Z",
  "updated": "2015-07-10T22:10:34.000Z",
  "title": "On the construction of gradient almost Ricci soliton warped product",
  "authors": [
    "F. E. S. Feitosa",
    "A. A. Freitas",
    "J. N. V. Gomes",
    "R. S. Pina"
  ],
  "comment": "13 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we present a necessary and sufficient condition for constructing gradient almost Ricci solitons that are realized as warped products. This will be done through the O'Neill's formulas and a particular study of Riemannian manifolds satisfying a Ricci-Hessian type equation. Furthermore, we provide existence and rigidity results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-10T22:10:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C15",
      "53C25",
      "53C21",
      "34A05"
    ],
    "keywords": [
      "ricci soliton warped product",
      "construction",
      "ricci-hessian type equation",
      "oneills formulas",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}