5 papers
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…