{
  "id": "1712.09949",
  "version": "v1",
  "published": "2017-12-28T17:40:38.000Z",
  "updated": "2017-12-28T17:40:38.000Z",
  "title": "Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds",
  "authors": [
    "Beniamino Cappelletti-Montano",
    "Antonio De Nicola",
    "Juan Carlos Marrero",
    "Ivan Yudin"
  ],
  "comment": "32 pages",
  "categories": [
    "math.DG",
    "math.AT",
    "math.SG"
  ],
  "abstract": "We provide models that are as close as possible to being formal for a large class of compact manifolds that admit a transversely Kaehler structure, including Vaisman and quasi-Sasakian manifolds. As an application we are able to classify the corresponding nilmanifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-28T17:40:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "53C55",
      "53D35",
      "55P62"
    ],
    "keywords": [
      "vaisman manifolds",
      "application",
      "large class",
      "compact manifolds",
      "transversely kaehler structure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}