{
  "id": "1904.08694",
  "version": "v1",
  "published": "2019-04-18T11:17:42.000Z",
  "updated": "2019-04-18T11:17:42.000Z",
  "title": "Integral Curvature Bounds and Bounded Diameter with Bakry--Emery Ricci Tensor",
  "authors": [
    "Seungsu Hwang",
    "Sanghun Lee"
  ],
  "comment": "9 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "For Riemannian manifolds with a smooth measure $(M, g, e^{-f}dv_{g})$, we prove a generalized Myers compactness theorem when Bakry--Emery Ricci tensor is bounded from below and $f$ is bounded.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-18T11:17:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "53C21"
    ],
    "keywords": [
      "bakry-emery ricci tensor",
      "integral curvature bounds",
      "bounded diameter",
      "generalized myers compactness theorem",
      "riemannian manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}