activity
20072018
most citedCurvature integral estimates for complete hypersurfaces

3 citations · 4 across the 5 of their papers we have counts for

collaborators

6 papers

math.DG2018

Height estimates for -surfaces in the warped product

Abigail Folha, Carlos Peñafiel, Walcy Santos

In this article, we consider compact surfaces having constant mean curvature (-surfaces) whose boundary is tr…

math.DG2015

Hypersurfaces with H_{r+1}=0 in H x R

Maria Fernanda Elbert, Barbara Nelli, Walcy Santos

We prove the existence of rotational hypersurfaces in with and we classify them. Then we prove some uniqueness theorems for -minimal…

math.DG2013

Low energy canonical immersions into hyperbolic manifolds and standard spheres

Heberto del Rio, Walcy Santos, Santiago R. Simanca

We consider critical points of the functionals and defined as the global -norm of the second fundamental form and mean curvature vector of isometric immersions of comp…

math.DG2009★ 1 cited

Stable hypersurfaces with constant scalar curvature in Euclidean spaces

Hilário Alencar, Walcy Santos, Detang Zhou

We obtain some nonexistence results for complete noncompact stable hyppersurfaces with nonnegative constant scalar curvature in Euclidean spaces. As a special case we prove that th…

math.DG2009★ 3 cited

Curvature integral estimates for complete hypersurfaces

Hilário Alencar, Walcy Santos, Detang Zhou

We consider the integrals of -mean curvatures of a complete hypersurface in space forms which generalize volume , total mean curvature $(r…

math.DG2007

Uniqueness of H-surfaces in H^2xR, |H| <= 1/2, with boundary one or two parallel horizontal circles

B. Nelli, R. Sa Earp, W. Santos +1

We prove that a H-surface M in H^2xR, |H| <= 1/2, inherits the symmetries of its boundary when the boundary is either a horizontal curve with curvature greater than one or two para…