{
  "id": "1401.0744",
  "version": "v2",
  "published": "2014-01-03T22:23:14.000Z",
  "updated": "2016-10-06T11:44:07.000Z",
  "title": "On Ricci Soliton metrics conformally equivalent to left invariant metrics",
  "authors": [
    "Hamid Reza Salimi Moghaddam"
  ],
  "categories": [
    "math.DG"
  ],
  "abstract": "In this paper we study the geometry of Riemannian metrics conformally equivalent to invariant metrics on Lie groups. We give the sectional curvature and Ricci tensor of such metrics in terms of structure constants of the Lie algebra. As an application, by using such metrics, we give many explicit examples of shrinking, steady and expanding Ricci solitons.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-03T22:23:14.000Z",
      "title": "A generalization of invariant Riemannian metrics and its applications to Ricci Solitons",
      "abstract": "In this paper we introduce a generalization of the concept of invariant Riemannian metric. This new definition can help us to find Riemannian manifolds with special geometric properties. As an application, by this method, we give many explicit examples of shrinking, steady and expanding Ricci solitons.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-10-06T11:44:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E60",
      "53C44",
      "53C21"
    ],
    "keywords": [
      "invariant riemannian metric",
      "application",
      "generalization",
      "special geometric properties",
      "expanding ricci solitons"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1401.0744S"
    }
  }
}