3 papers
math.DG2019
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…
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.DG2018
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…