{
  "id": "1610.07919",
  "version": "v1",
  "published": "2016-10-25T15:22:46.000Z",
  "updated": "2016-10-25T15:22:46.000Z",
  "title": "On subcritically Stein fillable 5-manifolds",
  "authors": [
    "Fan Ding",
    "Hansjörg Geiges",
    "Guangjian Zhang"
  ],
  "comment": "10 pages",
  "categories": [
    "math.GT",
    "math.SG"
  ],
  "abstract": "We make some elementary observations concerning subcritically Stein fillable contact structures on 5-manifolds. Specifically, we determine the diffeomorphism type of such contact manifolds in the case the fundamental group is finite cyclic, and we show that on the 5-sphere the standard contact structure is the unique subcritically fillable one. More generally, it is shown that subcritically fillable contact structures on simply connected 5-manifolds are determined by their underlying almost contact structure. Along the way, we discuss the homotopy classification of almost contact structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-25T15:22:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D35",
      "32Q28",
      "57M20",
      "57R17"
    ],
    "keywords": [
      "concerning subcritically stein fillable",
      "subcritically stein fillable contact structures",
      "elementary observations concerning subcritically stein",
      "standard contact structure",
      "contact manifolds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}