arXiv subjects

Christopher Queiroz

Publications and source records attributed to Christopher Queiroz.

2 recordsLinked to original sources

arXiv2024

Compact Einstein-type manifolds with parallel Ricci tensor

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.

math.DG↗

arXiv2022

Critical metrics of the volume functional with pinched curvature

In this paper, we prove that a critical metric of the volume functional with pinched Weyl curvature is isometric to a geodesic ball in $\mathbb{S}^{n}.$ Moreover, we provide a necessary and sufficient condition on the norm of the gradient of the potential function in order to classify such critical metrics.

math.DG↗