{
  "id": "1112.6302",
  "version": "v1",
  "published": "2011-12-29T13:15:39.000Z",
  "updated": "2011-12-29T13:15:39.000Z",
  "title": "Splitting theorems on complete manifolds with Bakry-Émery curvature",
  "authors": [
    "Jia-Yong Wu"
  ],
  "comment": "17 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we study some splitting properties on complete noncompact manifolds with smooth measures when $\\infty$-dimensional Bakry-\\'Emery Ricci curvature is bounded from below by some negative constant and spectrum of the weighted Laplacian has a positive lower bound. These results extend the cases of Ricci curvature and $m$-dimensional Bakry-\\'Emery Ricci curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-29T13:15:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21",
      "53C24",
      "35P15"
    ],
    "keywords": [
      "dimensional bakry-emery ricci curvature",
      "complete manifolds",
      "bakry-émery curvature",
      "splitting theorems",
      "complete noncompact manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.6302W"
    }
  }
}