{
  "id": "2206.13151",
  "version": "v1",
  "published": "2022-06-27T09:55:52.000Z",
  "updated": "2022-06-27T09:55:52.000Z",
  "title": "Almost contact structures on the deformation space of rational curves in a 4-dimensional twistor space",
  "authors": [
    "M. Teruya"
  ],
  "comment": "34 pages with 2figures",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we provide a correspondence between certain 5-dimensional complex spacetimes and 4-dimensional twistor spaces. The spacetimes are almost contact manifolds whose curvature tensor satisfies certain conditions. By using the correspondence, we show that a 5-dimensional K-contact manifold can be obtained from the Ren-Wang twistor space, which is obtained from two copies of \\C^4 identifying open subsets by a holomorphic map. From this result, the Ren-Wang twistor space can be interpreted in the framework of Itoh.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-27T09:55:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C28",
      "53D15"
    ],
    "keywords": [
      "deformation space",
      "rational curves",
      "contact structures",
      "ren-wang twistor space",
      "curvature tensor satisfies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}