3 papers
math.DG2026
Integral Inequalities and Rigidity for -Static-Type Equations on Manifolds with Boundary
Maria Andrade
In this work, we study compact Riemannian manifolds with boundary satisfying V-static-type equations. By combining a generalized Reilly formula with Steklov-type boundary value pro…
math.DG2025
Geometry of Einstein-type manifolds with boundary
Maria Andrade
In this article, we consider Einstein-type manifolds with boundary which generalizes important geometric equations, like static vacuum and static perfect fluid. We investigate some…
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…