{
  "id": "1812.09731",
  "version": "v1",
  "published": "2018-12-23T15:38:03.000Z",
  "updated": "2018-12-23T15:38:03.000Z",
  "title": "Mean Curvature in the Light of Scalar Curvature",
  "authors": [
    "Misha Gromov"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We formulate several conjectures on mean convex domains in the Euclidean spaces, as well as in more general spaces with lower bonds on their scalar curvatures, and prove a few theorems motivating these conjectures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-23T15:38:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scalar curvature",
      "mean curvature",
      "mean convex domains",
      "conjectures",
      "general spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}