6 citations · 8 across the 6 of their papers we have counts for
3 papers · 1 filter
Bounds to the mean curvature of leaves of CMC foliations
José Edson Sampaio, Euripedes Carvalho da Silva
The main goal of this present paper is to bring the results proved by Barbosa, Kenmotsu and Oshikiri (1991) and its ideas to a perspective where the Ricci curvature is bounded from…
On the Moser's Bernstein Theorem
José Edson Sampaio, Euripedes Carvalho da Silva
In this paper, we prove the following version of the famous Bernstein's theorem: Let be a closed and connected set with Hausdorff dimension . Assume t…
Foliations by spacelike hypersurfaces on Lorentz manifolds
Rosa Maria dos Santos Barreiro Chaves, Euripedes Carvalho da Silva
In this work we study the geometric properties of spacelike foliations by hypersurfaces on a Lorentz manifold. We find an equation that relates the foliation with the ambient manif…