{
  "id": "math/0609177",
  "version": "v1",
  "published": "2006-09-06T15:31:25.000Z",
  "updated": "2006-09-06T15:31:25.000Z",
  "title": "The Relation Between the Associate Almost Complex Structure to $HM'$ and $(HM',S,T)$-Cartan Connections",
  "authors": [
    "Ebrahim Esrafilian",
    "Hamid Reza Salimi Moghaddam"
  ],
  "comment": "Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/",
  "journal": "SIGMA 2 (2006), 067, 7 pages",
  "doi": "10.3842/SIGMA.2006.067",
  "categories": [
    "math.DG",
    "math.MG"
  ],
  "abstract": "In the present paper, the $(HM',S,T)$-Cartan connections on pseudo-Finsler manifolds, introduced by A. Bejancu and H.R. Farran, are obtained by the natural almost complex structure arising from the nonlinear connection $HM'$. We prove that the natural almost complex linear connection associated to a $(HM',S,T)$-Cartan connection is a metric linear connection with respect to the Sasaki metric $G$. Finally we give some conditions for $(M', J, G)$ to be a K\\\"ahler manifold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-06T15:31:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cartan connection",
      "metric linear connection",
      "complex linear connection",
      "pseudo-finsler manifolds",
      "nonlinear connection"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2006,
      "month": "Sep",
      "volume": 2,
      "pages": "067"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006SIGMA...2..067E"
    }
  }
}