{
  "id": "1009.3467",
  "version": "v1",
  "published": "2010-09-17T16:54:41.000Z",
  "updated": "2010-09-17T16:54:41.000Z",
  "title": "Curvature estimates for submanifolds in warped products",
  "authors": [
    "L. J. Alias",
    "G. P. Bessa",
    "J. F. Montenegro",
    "P. Piccione"
  ],
  "comment": "21 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We give estimates on the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case of submanifolds of the total space of a Riemannian submersion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-17T16:54:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C40",
      "53C42",
      "58C40"
    ],
    "keywords": [
      "warped products",
      "curvature estimates",
      "extrinsic curvature",
      "address extensions",
      "total space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.3467A"
    }
  }
}