{
  "id": "0706.3512",
  "version": "v1",
  "published": "2007-06-24T11:10:11.000Z",
  "updated": "2007-06-24T11:10:11.000Z",
  "title": "Homogeneous geodesics in homogeneous Finsler spaces",
  "authors": [
    "Dariush Latifi"
  ],
  "doi": "10.1016/j.geomphys.2006.11.004",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper, we study homogeneous geodesics in homogeneous Finsler spaces. We first give a simple criterion that characterizes geodesic vectors. We show that the geodesics on a Lie group, relative to a bi-invariant Finsler metric, are the cosets of the one-parameter subgroups. The existence of infinitely many homogeneous geodesics on compact semi-simple Lie group is established. We introduce the notion of naturally reductive homogeneous Finsler space. As a special case, we study homogeneous geodesics in homogeneous Randers spaces. Finally, we study some curvature properties of homogeneous geodesics. In particular, we prove that the S-curvature vanishes along the homogeneous geodesics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-06-24T11:10:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C60",
      "53C35",
      "53C30",
      "53C22"
    ],
    "keywords": [
      "homogeneous finsler space",
      "study homogeneous geodesics",
      "compact semi-simple lie group",
      "bi-invariant finsler metric",
      "characterizes geodesic vectors"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Geometry and Physics",
      "year": 2007,
      "month": "Apr",
      "volume": 57,
      "number": 5,
      "pages": 1421
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007JGP....57.1421L"
    }
  }
}