{
  "id": "1610.07706",
  "version": "v1",
  "published": "2016-10-25T02:12:37.000Z",
  "updated": "2016-10-25T02:12:37.000Z",
  "title": "Ancient Solutions on Bundles with Non-abelian Structural Group",
  "authors": [
    "Peng Lu",
    "Y. K. Wang"
  ],
  "comment": "33 pages",
  "categories": [
    "math.DG"
  ],
  "abstract": "We generalize the ancient solutions of the Ricci flow on certain principal ${\\rm SO}(3)$ bundles over compact quaternionic K\\\"ahler manifolds constructed by Bakas, Kong, and Ni to certain $RP^3$ fibre bundles over a product of two compact quaternionic K\\\"ahler manifolds. The ancient solutions are of Type I, $\\kappa$-noncollapsed, and have positive Ricci curvature. Analogous solutions on even-dimensional non-K\\\"ahlerian bundle spaces are also constructed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-25T02:12:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C44"
    ],
    "keywords": [
      "ancient solutions",
      "non-abelian structural group",
      "compact quaternionic",
      "bundle spaces",
      "ricci flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}