{
  "id": "1808.02218",
  "version": "v1",
  "published": "2018-08-07T05:26:34.000Z",
  "updated": "2018-08-07T05:26:34.000Z",
  "title": "On a generalised Blaschke-Santalò inequality",
  "authors": [
    "Haodi Chen"
  ],
  "categories": [
    "math.AP",
    "math.DG"
  ],
  "abstract": "In this paper, we establish a generalised Blaschke-Santal\\`o inequality for convex bodies in $\\mathbb R^{n+1}$. This inequality gives an upper bound estimate for the product of dual quermassintegrals of convex body and its polar set. Our argument is based on induction on dimensions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-07T05:26:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "inequality",
      "convex body",
      "upper bound estimate",
      "dual quermassintegrals",
      "polar set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}