{
  "id": "2212.12243",
  "version": "v1",
  "published": "2022-12-23T10:35:49.000Z",
  "updated": "2022-12-23T10:35:49.000Z",
  "title": "Geometric structures of Morris-Thorne wormhole metric with the semi-symmetric non-metric connections",
  "authors": [
    "Siyao Liu",
    "Yong Wang"
  ],
  "comment": "10 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "Spacetime is a 4-dimensional connected Lorentzian manifold. In this paper, we extend the Levi-Civita connection in the definition of spacetime to the semi-symmetric non-metric connection and conclude geometric structures admitted by the metric (1.1) with the semi-symmetric non-metric connections. Obviously, Morris-Thorne spacetime is Ricci generalized pseudosymmetry, Ricci generalized projectively pseudosymmetry, and has conformal 2-forms that are recurrent, etc. It also is an Einstein manifold of level 2 and 3-quasi-Einstein manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-23T10:35:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semi-symmetric non-metric connection",
      "morris-thorne wormhole metric",
      "conclude geometric structures",
      "ricci generalized pseudosymmetry",
      "einstein manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}