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

E. Ribeiro Jr; K. Bezerra

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arXiv · 1301.7737

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

E. Ribeiro Jr·K. Bezerra

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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.

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BibTeX RIS

E. Ribeiro Jr, K. Bezerra. 2013-01-31. A note on the uniqueness of quasi-Einstein metrics on $\Bbb{H}^{n}\times \Bbb{R}$. https://arxiv.org/abs/1301.7737

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