3 papers
math.DG2025
The index of the cosmological horizon and the area-charge-inequality
Neilha Pinheiro
In this article, we investigate the index of the MOTS given by a spatial cross section of the cosmological horizon in the Kerr-Newman-de Sitter spacetime. We show that its index is…
math.DG2019
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…
math.DG2016
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…