Work

On Einstein-type manifold with cyclic parallel Ricci tensor

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.23456

Authors: Andrade, M., Baltazar, H., da Silva, A., Tavares, D.

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Princeton University, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Fundação de Apoio à Pesquisa e à Inovação Tecnológica do Estado de Sergipe

Awards: G4404109217, G6756993358

OpenAlex ID: W7157250099

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