{
  "id": "math/9809167",
  "version": "v1",
  "published": "1998-09-29T05:08:54.000Z",
  "updated": "1998-09-29T05:08:54.000Z",
  "title": "A sequence of connections and a characterization of Kähler manifolds",
  "authors": [
    "Mikhail Shubin"
  ],
  "comment": "6 pages, AMSTeX, submitted to Contemporary Mathematics",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study a sequence of connections which is associated with a Riemannian metric and an almost symplectic structure on a manifold. We prove that if this sequence is trivial (i.e. constant) or 2-periodic, then the manifold has a canonical K\\\"ahler structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-09-29T05:08:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53B35",
      "53C55",
      "53B05",
      "53C07"
    ],
    "keywords": [
      "kähler manifolds",
      "connections",
      "characterization"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......9167S"
    }
  }
}