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math.DG2024
Compact Einstein-type manifolds with parallel Ricci tensor
Maria Andrade, Halyson Baltazar, Christopher Queiroz
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…
math.DG2022
Critical metrics of the volume functional with pinched curvature
Halyson Baltazar, Christopher Queiroz
In this paper, we prove that a critical metric of the volume functional with pinched Weyl curvature is isometric to a geodesic ball in Moreover, we provide a nece…