{
  "id": "2302.14810",
  "version": "v1",
  "published": "2023-02-28T18:00:07.000Z",
  "updated": "2023-02-28T18:00:07.000Z",
  "title": "The geometry of Riemannian submersions from compact Lie groups. Application to flag manifolds",
  "authors": [
    "Dimbihery Rabenoro",
    "Xavier Pennec"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "We study the geometry of Riemannian manifolds of finite dimension which are isometric to a quotient of a compact Lie group endowed with the quotient of a bi-invariant metric. Then, we apply the results obtained to enlight the geometry of flag manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-28T18:00:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C30",
      "14M15"
    ],
    "keywords": [
      "compact lie group",
      "flag manifolds",
      "riemannian submersions",
      "application",
      "bi-invariant metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}