Conformally flat tangent bundles with general natural lifted metrics

S. L. Druta

Conformally flat tangent bundles with general natural lifted metrics

Differential Geometry 2008-10-10 v1

Authors: S. L. Druta

Abstract

We study the conditions under which the tangent bundle $(TM,G)$ of an $n$ -dimensional Riemannian manifold $(M,g)$ is conformally flat, where $G$ is a general natural lifted metric of $g$ . We prove that the base manifold must have constant sectional curvature and we find some expressions for the natural lifted metric $G$ , such that the tangent bundle $(TM,G)$ become conformally flat.

Keywords

conformally flat tangent bundle natural lifted metric Riemannian manifold constant sectional curvature

Cite

@article{arxiv.0810.1646,
  title  = {Conformally flat tangent bundles with general natural lifted metrics},
  author = {S. L. Druta},
  journal= {arXiv preprint arXiv:0810.1646},
  year   = {2008}
}

Comments

12 pages, contribution to The Eight International Workshop on Differential Geomerty and Its Applications, August 19 25, 2007, "Babes Bolyai" University, Cluj Napoca, Romania

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