{
  "id": "2105.14643",
  "version": "v1",
  "published": "2021-05-30T22:39:17.000Z",
  "updated": "2021-05-30T22:39:17.000Z",
  "title": "A Directional Curvature Formula for Convex Bodies in R^n",
  "authors": [
    "F. F. Pereira"
  ],
  "comment": "24 pages",
  "categories": [
    "math.MG"
  ],
  "abstract": "For a compact convex set F in R^n, with the origin in its interior, we present a formula to compute the curvature at a fixed point on its boundary, in the direction of any tangent vector. This formula is equivalent to the existing ones, but it is easier to apply.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-30T22:39:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52A20",
      "53A04",
      "53A05"
    ],
    "keywords": [
      "directional curvature formula",
      "convex bodies",
      "compact convex set",
      "tangent vector",
      "fixed point"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}