L. Alías

activity

20032009

most citedUniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes

90 citations · 227 across the 12 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

math.DG2008★ 1 cited

Parabolicity of maximal surfaces in Lorentzian product spaces

Alma L. Albujer, Luis J. Alias

In this paper we establish some parabolicity criteria for maximal surfaces immersed into a Lorentzian product space of the form $M^{2} \times R_{1}$ , where $M^{2}$ is a connected…

math.DG2008★ 17 cited

A characterization of quadric constant mean curvature hypersurfaces of spheres

Luis J. Alias, Aldir Brasil, Oscar Perdomo

Let $ϕ : M \to S^{n + 1} \subset R^{n + 2}$ be an immersion of a complete $n$ -dimensional oriented manifold. For any $v \in R^{n + 2}$ , let us denote by $\ell_v:M\to\m…

math.DG2008

Geometric analysis of Lorentzian distance function on spacelike hypersurfaces

Luis J. Alias, Ana Hurtado, Vicente Palmer

Some analysis on the Lorentzian distance in a spacetime with controlled sectional (or Ricci) curvatures is done. In particular, we focus on the study of the restriction of such dis…