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arXiv · 2604.23456

On Einstein-type manifold with cyclic parallel Ricci tensor

M. Andrade·H. Baltazar·A. da Silva·D. Tavares
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Abstract

In this article, we derive an integral formula involving the tensor $D_{ijk}$ 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.

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M. Andrade, H. Baltazar, A. da Silva, D. Tavares. 2026-04-25. On Einstein-type manifold with cyclic parallel Ricci tensor. https://arxiv.org/abs/2604.23456

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