17 citations · 21 across the 4 of their papers we have counts for
5 papers
Spacelike Foliations on Lorentz manifolds
Aldir Brasil, Sharief Deshmukh, Euripedes Carvalho da Silva +1
In this work, we study the geometric properties of spacelike foliations by hypersurfaces on a Lorentz manifold. We investigate conditions for the leaves being stable, totally geode…
Einstein Manifolds and Nonpositive Isotropic Curvature
Aldir Brasil, Ezio Costa, Feliciano Vitorio
This note is devoted to study the implications of nonpositive isotropic curvature and negative Ricci curvature for Einstein Manifolds.
Stability index jump for cmc hypersurfaces of spheres
Oscar M. Perdomo, Aldir Brasil
It is known that the totally umbilical hypersurfaces in the (n+1)-dimensional spheres are characterized as the only hypersurfaces with weak stability index 0. That is, a compact hy…
A characterization of quadric constant mean curvature hypersurfaces of spheres
Luis J. Alias, Aldir Brasil, Oscar Perdomo
Let be an immersion of a complete -dimensional oriented manifold. For any , let us denote by $\ell_v:M\to\m…
Stability of Spacelike Hypersurfaces in Foliated Spacetimes
A. Barros, A. Brasil, A. Caminha
We show that a given closed spacelike hypersurface with constant mean curvature and warping function satisfying ϕ''\geq \ma\{Hϕ'',0\…