On quasi-Einstein manifolds with constant scalar curvature

2025/05/24 by Johnatan Costa, Ernani Ribeiro, Costa, Johnatan +3 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2505.18834

openalex publication_date 2025/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

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Cited by

• Rigidity of five-dimensional quasi-Einstein manifolds with constant scalar curvature

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