Compact Einstein-type manifolds with parallel Ricci tensor
Differential Geometry
2024-03-06 v1
Abstract
In this paper, we deduce a Bochner-type identity for compact gradient Einstein-type manifolds with boundary. As consequence, we are able to show a rigidity result for Einstein-type manifolds assuming the parallel Ricci curvature condition. Moreover, we provide a condition on the norm of the gradient of the potential function in order to classify such structures.
Cite
@article{arxiv.2403.02447,
title = {Compact Einstein-type manifolds with parallel Ricci tensor},
author = {Maria Andrade and Halyson Baltazar and Christopher Queiroz},
journal= {arXiv preprint arXiv:2403.02447},
year = {2024}
}