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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 \(M\) ...
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Article
On locally conformally flat critical metrics for quadratic functionals
The aim of this note is to present some results about critical metrics for quadratic functional \({\mathcal {F}}_{t,s}\) ...
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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...