{
  "id": "math/0609251",
  "version": "v1",
  "published": "2006-09-09T05:22:59.000Z",
  "updated": "2006-09-09T05:22:59.000Z",
  "title": "Local Volume Estimate for Manifolds with $L^2$-bounded Curvature",
  "authors": [
    "Ye Li"
  ],
  "comment": "20 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We obtain a local volume growth for complete, noncompact Riemannian manifolds with small integral bounds and with Bach tensor having finite $L^2$ norm in dimension 4.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-09T05:22:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C21"
    ],
    "keywords": [
      "local volume estimate",
      "bounded curvature",
      "local volume growth",
      "small integral bounds",
      "noncompact riemannian manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......9251L"
    }
  }
}