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    Article

    Bach-Flat Critical Metrics of the Volume Functional on 4-Dimensional Manifolds with Boundary

    The purpose of this article is to investigate Bach-flat critical metrics of the volume functional on a compact manifold \(M\) ...

    A. Barros, R. Diógenes, E. Ribeiro Jr. in The Journal of Geometric Analysis (2015)

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    Article

    Free Boundary Hypersurfaces with Non-positive Yamabe Invariant in Mean Convex Manifolds

    We obtain some estimates on the area of the boundary and on the volume of a certain free boundary hypersurface \(\Sigma \) Σ with non-positive Yamabe invariant in a Riemannian n-manifold with bounds for the s...

    A. Barros, C. Cruz in The Journal of Geometric Analysis (2020)