{
  "id": "1908.10824",
  "version": "v1",
  "published": "2019-08-28T16:50:45.000Z",
  "updated": "2019-08-28T16:50:45.000Z",
  "title": "Almost Hermitian structures on tangent bundles",
  "authors": [
    "Hiroyasu Satoh"
  ],
  "journal": "Proceedings of the Eleventh International Workshop on Differential Geometry, 105-118, Kyungpook Nat. Univ., Taegu, 2007",
  "categories": [
    "math.DG"
  ],
  "abstract": "In this article, we consider the almost Hermitian structure on $TM$ induced by a pair of a metric and an affine connection on $M$. We find the conditions under which $TM$ admits almost K\\\"ahler structures, K\\\"ahler structures and Einstein metrics, respectively. Moreover, we give two examples of K\\\"ahler-Einstein structures on $TM$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-28T16:50:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55",
      "53C15",
      "53C25"
    ],
    "keywords": [
      "hermitian structure",
      "tangent bundles",
      "einstein metrics",
      "affine connection"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}