{
  "id": "0909.2420",
  "version": "v1",
  "published": "2009-09-13T14:51:09.000Z",
  "updated": "2009-09-13T14:51:09.000Z",
  "title": "Ricci Curvature and Gauss Maps of Minimal Submanifolds",
  "authors": [
    "Richard Atkins"
  ],
  "comment": "4 pages; proofs omitted",
  "categories": [
    "math.DG"
  ],
  "abstract": "We present conditions on the Ricci curvature for complete, oriented, minimal submanifolds of Euclidean space, as well as the standard unit sphere, when the Gauss maps are bounded embeddings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-13T14:51:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C42"
    ],
    "keywords": [
      "minimal submanifolds",
      "gauss maps",
      "ricci curvature",
      "standard unit sphere",
      "euclidean space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.2420A"
    }
  }
}