{
  "id": "1911.01019",
  "version": "v1",
  "published": "2019-11-04T03:11:46.000Z",
  "updated": "2019-11-04T03:11:46.000Z",
  "title": "Pythagorean Theorem & curvature with lower or upper bound",
  "authors": [
    "Xiaole Su",
    "Hongwei Sun",
    "Yusheng Wang"
  ],
  "comment": "16pages",
  "categories": [
    "math.MG"
  ],
  "abstract": "In this paper, we give a comparison version of Pythagorean Theorem to judge the lower or upper bound of the curvature of Alexandrov spaces (including Riemannian manifolds).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-04T03:11:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20"
    ],
    "keywords": [
      "upper bound",
      "pythagorean theorem",
      "comparison version",
      "alexandrov spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}