{
  "id": "2104.00910",
  "version": "v1",
  "published": "2021-04-02T06:52:12.000Z",
  "updated": "2021-04-02T06:52:12.000Z",
  "title": "Geometry on the Wasserstein space over a compact Riemannian manifold",
  "authors": [
    "Hao Ding",
    "Shizan Fang"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We will revisit the intrinsic differential geometry of the Wasserstein space over a Riemannian manifold, due to a series of papers by Otto, Villani, Lott, Ambrosio, Gigli, Savar\\'e and so on.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-02T06:52:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact riemannian manifold",
      "wasserstein space",
      "intrinsic differential geometry"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}