A note on the uniqueness of quasi-Einstein metrics on ℍⁿ× ℝ

2013/01/31 by Ribeiro, E., Bezerra, K.
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1301.7737

Abstract

The aim of this note is to give an explicit description of quasi-Einstein metrics on ℍⁿ× 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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