{
  "id": "1807.10666",
  "version": "v1",
  "published": "2018-07-27T14:59:22.000Z",
  "updated": "2018-07-27T14:59:22.000Z",
  "title": "Invariant Einstein Kropina metrics on Lie groups and homogeneous spaces",
  "authors": [
    "Masoumeh Hosseini",
    "Hamid Reza Salimi Moghaddam"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this article, we study Einstein Kropina metrics on Lie groups and homogeneous spaces. We give a simple way to build the Einstein Kropina metrics on Lie groups. As an example of this method, we construct a family of non-Riemannian Einstein Kropina metrics on the special orthogonal group $SO(n)$. Then we classify all left invariant Einstein Kropina metrics on simply connected $3$-dimensional real Lie groups. Finally, we provide a way for constructing Einstein Kropina metrics on homogeneous spaces. Using this way, we study invariant Einstein Kropina metrics on $S^n$ and show that any projective space admits a non-Riemannian invariant Einstein Kropina metric.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-27T14:59:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C60",
      "53B21",
      "53C25",
      "22E60"
    ],
    "keywords": [
      "homogeneous spaces",
      "non-riemannian invariant einstein kropina metric",
      "left invariant einstein kropina metrics",
      "study invariant einstein kropina metrics",
      "non-riemannian einstein kropina metrics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}