{
  "id": "1209.4525",
  "version": "v1",
  "published": "2012-09-20T13:25:15.000Z",
  "updated": "2012-09-20T13:25:15.000Z",
  "title": "A note on scalar curvature and the convexity of boundaries",
  "authors": [
    "Martin Reiris"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove that any smooth Riemannian manifold of non-negative scalar curvature and with a strictly mean convex and compact boundary component can be (C^2) extended beyond the component to have non-negative scalar curvature and to enjoy anyone of the following three types of (new) boundary: strictly convex, totally geodesic or strictly concave. The extension procedure can be applied for instance to \"positive mass\" type of theorems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-20T13:25:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-negative scalar curvature",
      "smooth riemannian manifold",
      "compact boundary component",
      "strictly mean convex",
      "extension procedure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.4525R"
    }
  }
}