{
  "id": "1302.1249",
  "version": "v1",
  "published": "2013-02-06T02:46:10.000Z",
  "updated": "2013-02-06T02:46:10.000Z",
  "title": "A note on Yamabe constants of products with hyperbolic spaces",
  "authors": [
    "Guillermo Henry",
    "Jimmy Petean"
  ],
  "comment": "15 pages, 5 figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study the H^n-Yamabe constants of Riemannian products (H^n \\times M^m, g_h^n +g), where (M,g) is a compact Riemannian manifold of constant scalar curvature and g_h^n is the hyperbolic metric on H^n. Numerical calculations can be carried out due to the uniqueness of (positive, finite energy) solutions of the equation \\Delta u -\\lambda u + u^q =0 on hyperbolic space H^n under appropriate bounds on the parameters \\lambda, q, as shown by G. Mancini and K. Sandeep. We do explicit numerical estimates in the cases (n,m)=(2,2),(2,3) and (3,2).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-06T02:46:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hyperbolic space",
      "yamabe constants",
      "compact riemannian manifold",
      "constant scalar curvature",
      "riemannian products"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.1249H"
    }
  }
}