On quasi-Einstein manifolds with constant scalar curvature
Differential Geometry
2025-05-27 v1
Abstract
In this article, we study quasi-Einstein manifolds with constant scalar curvature. We provide a classification of compact and noncompact (possibly with boundary) -flat quasi-Einstein manifolds with constant scalar curvature, where the -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) -dimensional -quasi-Einstein manifolds with constant scalar curvature.
Cite
@article{arxiv.2505.18834,
title = {On quasi-Einstein manifolds with constant scalar curvature},
author = {Johnatan Costa and Ernani Ribeiro and Márcio Santos},
journal= {arXiv preprint arXiv:2505.18834},
year = {2025}
}
Comments
20 pages