{
  "id": "2105.09184",
  "version": "v1",
  "published": "2021-05-19T15:02:07.000Z",
  "updated": "2021-05-19T15:02:07.000Z",
  "title": "Equigeodesics on some classes of homogeneous spaces",
  "authors": [
    "Marina Statha"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study homogeneous curves on some classes of reductive homogeneous spaces G=H which are geodesics with respect to any G-invariant metric on G=H. These curves are called equigeodesics. The spaces we consider are certain Stiefel manifolds VkRn, generalized Wallach spaces and spheres. We give a characterization for algebraic equigeodesics on V2Rn, V4R6, SO(6)= SO(3) ? SO(2), W6 = U(3)= U(1)3, W12 = Sp(3)= Sp(1)3, S2n+1 ?= U(n + 1)= U(n) and S4n+3 ?= Sp(n + 1)= Sp(n).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-19T15:02:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C25",
      "53C30"
    ],
    "keywords": [
      "homogeneous spaces",
      "stiefel manifolds vkrn",
      "study homogeneous curves",
      "algebraic equigeodesics",
      "generalized wallach spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}