9 citations · 22 across the 16 of their papers we have counts for
3 papers · 1 filter
Stable hypersurfaces with zero scalar curvature in Euclidean space
Hilário Alencar, Manfredo do Carmo, Gregório Silva Neto
In this paper we prove some results concerning stability of hypersurfaces in the four dimensional Euclidean space with zero scalar curvature. First we prove there is no complete st…
Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications
Hilário Alencar, Gregório Silva Neto
In this paper we prove a monotonicity formula for the integral of the mean curvature for complete and proper hypersurfaces of the hyperbolic space and, as consequences, we obtain a…
Poincaré and mean value inequalities for hypersurfaces in Riemannian manifolds and applications
Hilário Alencar, Gregório Silva Neto
In the first part of this paper we prove some new Poincaré inequalities, with explicit constants, for domains of any hypersurface of a Riemannian manifold with sectional curvatures…