3 papers
math.DG2021
Remarks on biharmonic hypersurfaces in space forms
Wagner Oliveira Costa-Filho
We consider closed biharmonic hypersurfaces in the Euclidean sphere and prove a rigidity result under a suitable condition on the scalar curvature. Moreover, we establish an integr…
math.DG2020
The r-mean curvature and rigidity of compact hypersurfaces in the Euclidean space
Wagner Oliveira Costa-Filho
In this paper, we characterize round spheres in the Euclidean space under some suitable conditions on the r-mean curvature.
math.DG2018
The halfspace theorem for minimal hypersurfaces in regions bounded by minimal cones
Marcos Petrúcio Cavalcante, Wagner Oliveira Costa-Filho
We prove that there are no minimal hypersurfaces properly immersed in any region of the Euclidean space bounded by unstable minimal cones. We also prove the analogous result for $r…