{
  "id": "2011.02245",
  "version": "v1",
  "published": "2020-11-04T12:10:40.000Z",
  "updated": "2020-11-04T12:10:40.000Z",
  "title": "Curvature estimates for graphs in warped products",
  "authors": [
    "Alexandre Paiva Barreto",
    "Fabiani A. Coswosck",
    "Luiz Hartmann"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove local and global upper estimates for the infimum of the mean curvature, the scalar curvature and the norm of the shape operator of graphs in a warped product space. Using these estimates, we obtain some results on pseudo-hyperbolic spaces and space forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-04T12:10:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42",
      "53A10"
    ],
    "keywords": [
      "curvature estimates",
      "global upper estimates",
      "space forms",
      "pseudo-hyperbolic spaces",
      "mean curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}