57 citations · 123 across the 12 of their papers we have counts for
15 papers
Mass from an Extrinsic Point of View
Alexandre de Sousa, Frederico Girão
We express the -th Gauss-Bonnet-Chern mass of an immersed submanifold of Euclidean space as a linear combination of two terms: the total -th mean curvature and the integra…
Extrinsic black hole uniqueness in pure Lovelock gravity
Levi Lopes de Lima, Frederico Girão, José Natário
We define a notion of extrinsic black hole in pure Lovelock gravity of degree which captures the essential features of the so-called Lovelock-Schwarzschild solutions, viewed as…
Weighted geometric inequalities for hypersurfaces in sub-static manifolds
Frederico Girão, Diego Rodrigues
We prove two weighted geometric inequalities that hold for strictly mean convex and star-shaped hypersurfaces in Euclidean space. The first one involves the weighted area and the a…
Weighted Alexandrov-Fenchel inequalities in hyperbolic space and a conjecture of Ge, Wang and Wu
Frederico Girão, Diego Pinheiro, Neilha M. Pinheiro +1
We consider a conjecture made by Ge, Wang and Wu regarding weighted Alexandrov-Fenchel inequalities for horospherically convex hypersurfaces in hyperbolic space (a bound, for some…
The mass in terms of Einstein and Newton
Levi Lopes de Lima, Frederico Girão, Amilcar Montalbán
It is shown that the mass of an asymptotically flat manifold with a noncompact boundary can be computed in terms of limiting surface integrals involving the Einstein tensor of the…
A spinorial approach to constant scalar curvature hypersurfaces in pseudo-hyperbolic manifolds
Frederico Girão, Diego Rodrigues
Using spinorial techniques, we prove, for a class of pseudo-hyperbolic ambient manifolds, a Heintze-Karcher type inequality. We then use this inequality to show an Alexandrov type…
An Alexandrov-Fenchel-type inequality for hypersurfaces in the sphere
Frederico Girão, Neilha M. Pinheiro
We find a monotone quantity along the inverse mean curvature flow and use it to prove an Alexandrov-Fenchel-type inequality for strictly convex hypersurfaces in the -dimensional…
The Gauss-Bonnet-Chern mass of higher codimension graphical manifolds
Alexandre de Sousa, Frederico Girão
We give an explicit formula for the Gauss-Bonnet-Chern mass of an asymptotically flat graphical manifold of arbitrary codimension and use it to prove the positive mass theorem and…
On the limiting behavior of the Brown-York quasi-local mass in asymptotically hyperbolic manifolds
Ezequiel Barbosa, Levi Lopes de Lima, Frederico Girão
We show that the limit at infinity of the vector-valued Brown-York-type quasi-local mass along any coordinate exhaustion of an asymptotically hyperbolic -manifold satisfying the…
Penrose inequalities and a positive mass theorem for charged black holes in higher dimension
Levi Lopes de Lima, Frederico Girão, Weslley Lozório +1
We use the inverse mean curvature flow to establish Penrose-type inequalities for time-symmetric Einstein-Maxwell initial data sets which can be suitably embedded as a hypersurface…
A Penrose inequality for asymptotically locally hyperbolic graphs
Levi Lopes de Lima, Frederico Girão
We use the inverse mean curvature flow to prove a sharp Alexandrov-Fenchel-type inequality for a class of hypersurfaces in certain locally hyperbolic manifolds. As an application w…
An Alexandrov-Fenchel-type inequality in hyperbolic space with an application to a Penrose inequality
Levi Lopes de Lima, Frederico Girão
We prove a sharp Alexandrov-Fenchel-type inequality for star-shaped, strictly mean convex hypersurfaces in hyperbolic -space, . The argument uses two new monotone quant…
A rigidity result for the graph case of the Penrose inequality
Levi Lopes de Lima, Frederico Girão
In this note we prove a global rigidity result for asymptotically flat, scalar flat Euclidean hypersurfaces with a minimal horizon lying in a hyperplane, under a natural ellipticit…
Positive mass and Penrose type inequalities for asymptotically hyperbolic hypersurfaces
Levi Lopes de Lima, Frederico Girão
We establish versions of the Positive Mass and Penrose inequalities for a class of asymptotically hyperbolic hypersurfaces. In particular, under the usual dominant energy condition…
The ADM mass of asymptotically flat hypersurfaces
Levi Lopes de Lima, Frederico Girão
We provide integral formulae for the ADM mass of asymptotically flat hypersurfaces in Riemannian manifolds with a certain warped product structure in a neighborhood of infinity, th…