On Einstein-type manifold with cyclic parallel Ricci tensor
Differential Geometry
2026-04-28 v1
Abstract
In this article, we derive an integral formula involving the tensor for compact Einstein-type manifolds with constant scalar curvature. As an application, we classify three-dimensional compact Einstein-type manifolds satisfying the cyclic parallel Ricci tensor condition, obtaining rigidity results that extend and unify previous work in the literature.
Cite
@article{arxiv.2604.23456,
title = {On Einstein-type manifold with cyclic parallel Ricci tensor},
author = {M. Andrade and H. Baltazar and A. da Silva and D. Tavares},
journal= {arXiv preprint arXiv:2604.23456},
year = {2026}
}