{
  "id": "1612.03535",
  "version": "v1",
  "published": "2016-12-12T03:48:21.000Z",
  "updated": "2016-12-12T03:48:21.000Z",
  "title": "Properties of compact center-stable submanifolds",
  "authors": [
    "Andy Hammerlindl"
  ],
  "comment": "16 pages, 2 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that a partially hyperbolic system can have at most a finite number of compact center-stable submanifolds. We also give sufficient conditions for these submanifolds to exist and consider the question of whether they can intersect each other.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-12T03:48:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37D30",
      "37C70"
    ],
    "keywords": [
      "compact center-stable submanifolds",
      "properties",
      "sufficient conditions",
      "partially hyperbolic system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}