39 citations · 58 across the 3 of their papers we have counts for
4 papers
Mass-capacity inequalities for conformally flat manifolds with boundary
Alexandre Freire, Fernando Schwartz
In this paper we prove a mass-capacity inequality and a volumetric Penrose inequality for conformally flat manifolds, in arbitrary dimensions. As a by-product of the proofs, Pólya-…
A volumetric Penrose inequality for conformally flat manifolds
Fernando Schwartz
We consider asymptotically flat Riemannian manifolds with nonnegative scalar curvature that are conformal to , and so that their boundary is a minimal hy…
Existence of outermost apparent horizons with product of spheres topology
Fernando Schwartz
In this paper we find new examples of Riemannian manifolds with outermost apparent horizons with nonspherical topology, in dimensions four and above. More precisely, for any $n,m\g…
The zero scalar curvature Yamabe problem on noncompact manifolds with boundary
Fernando Schwartz
Let be a noncompact complete Riemannian manifold with compact boundary and a smooth function on . In this paper we show that for a large class of…