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20112024
most citedAn Alexandrov-Fenchel-type inequality in hyperbolic space with an application to a Penrose inequality

57 citations · 123 across the 12 of their papers we have counts for

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math.DG2019★ 17 cited

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…