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

E. Ribeiro Jr; K. Bezerra

arxiv: 1301.7737 · v3 · pith:O455DBGCnew · submitted 2013-01-31 · 🧮 math.DG

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

E. Ribeiro Jr , K. Bezerra This is my paper

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keywords metricsquasi-einsteinshallexamplesnotetimesuniquenessclosed

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

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