A note on the uniqueness of quasi-Einstein metrics on $\Bbb{H}^{n}\times \Bbb{R}$

E. Ribeiro; K. Bezerra

A note on the uniqueness of quasi-Einstein metrics on $\Bbb{H}^{n}\times \Bbb{R}$

Differential Geometry 2013-08-05 v3

Authors: E. Ribeiro , K. Bezerra

Abstract

The aim of this note is to give an explicit description of quasi-Einstein metrics on $\Bbb{H}^{n}\times \Bbb{R}.$ We shall construct two examples of quasi-Einstein metrics on this manifold and then we shall prove the uniqueness of these examples. Finally, we shall describe the closed relation between quasi-Einstein metrics and static metrics in the quoted space.

Keywords

quasi-Einstein metrics uniqueness static metrics hyperbolic space product manifolds differential geometry

Cite

@article{arxiv.1301.7737,
  title  = {A note on the uniqueness of quasi-Einstein metrics on $\Bbb{H}^{n}\times \Bbb{R}$},
  author = {E. Ribeiro and K. Bezerra},
  journal= {arXiv preprint arXiv:1301.7737},
  year   = {2013}
}

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