{
  "id": "2003.06242",
  "version": "v1",
  "published": "2020-03-13T12:46:44.000Z",
  "updated": "2020-03-13T12:46:44.000Z",
  "title": "On gluing Alexandrov spaces with lower Ricci curvature bounds",
  "authors": [
    "Vitali Kapovitch",
    "Christian Ketterer",
    "Karl-Theodor Sturm"
  ],
  "comment": "24 pages",
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "abstract": "In this paper we prove that in the class of metric measure spaces with Alexandrov curvature bounded from below the Riemannian curvature-dimension condition $RCD(K,N)$ with $K\\in \\mathbb{R}$ and $N\\in [1,\\infty)$ is preserved under doubling and gluing constructions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-13T12:46:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "54E35"
    ],
    "keywords": [
      "lower ricci curvature bounds",
      "gluing alexandrov spaces",
      "riemannian curvature-dimension condition",
      "metric measure spaces",
      "alexandrov curvature"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}