{
  "id": "0810.1363",
  "version": "v1",
  "published": "2008-10-08T06:58:10.000Z",
  "updated": "2008-10-08T06:58:10.000Z",
  "title": "The Sectional Curvature of the Tangent Bundles with General Natural Lifted Metrics",
  "authors": [
    "S. Druta"
  ],
  "comment": "11 pages, contribution to The Ninth International Conference on Geometry, Integrability and Quantization, June 8 13, 2007, Varna, Bulgaria",
  "journal": "Proceedings of The Ninth International Conference on Geometry, Integrability and Quantization, June 8 13, 2007, Varna, Bulgaria, Ivalo M. Mladenov, Editor, SOFTEX, Sofia 2008, pp 198 209",
  "categories": [
    "math.DG"
  ],
  "abstract": "We study some properties of the tangent bundles with metrics of general natural lifted type. We consider a Riemannian manifold $(M,g)$ and we find the conditions under which the Riemannian manifold $(TM,G)$, where $TM$ is the tangent bundle of $M$ and $G$ is the general natural lifted metric of $g$, has constant sectional curvature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-08T06:58:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C55",
      "53C15",
      "53C05"
    ],
    "keywords": [
      "general natural lifted metric",
      "tangent bundle",
      "riemannian manifold",
      "constant sectional curvature",
      "general natural lifted type"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.1363D"
    }
  }
}