On quasi-Einstein manifolds with constant scalar curvature

2025/05/24 by Costa, Johnatan, Ribeiro, Ernani, Santos, Márcio · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.18834

Abstract

In this article, we study quasi-Einstein manifolds with constant scalar curvature. We provide a classification of compact and noncompact (possibly with boundary) T-flat quasi-Einstein manifolds with constant scalar curvature, where the T-tensor is directly related to the Cotton and Weyl tensors. Moreover, we construct new explicit examples of noncompact quasi-Einstein manifolds. In addition, we prove a complete classification of compact and noncompact (possibly with boundary) 3-dimensional m-quasi-Einstein manifolds with constant scalar curvature.

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