69 citations · 108 across the 6 of their papers we have counts for
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A Hilbert-type theorem for spacelike surfaces with constant Gaussian curvature in
Alma L. Albujer, Luis J. Alias
There are examples of complete spacelike surfaces in the Lorentzian product with constant Gaussian curvature . In this paper, we show tha…
On the scalar curvature of hypersurfaces in spaces with a Killing field
Alma L. Albujer, Juan A. Aledo, Luis J. Alias
We consider compact hypersurfaces in an -dimensional either Riemannian or Lorentzian space endowed with a conformal Killing vector field. For such hypersurfaces, w…
A local estimate for maximal surfaces in Lorentzian product spaces
Alma L. Albujer, Luis J. Alias
In this paper we introduce a local approach for the study of maximal surfaces immersed into a Lorentzian product space of the form , where is a connected Riema…
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 , where is a connected…
Spacelike hypersurfaces with constant mean curvature in the steady state space
Alma L. Albujer, Luis J. Alias
We consider complete spacelike hypersurfaces with constant mean curvature in the open region of de Sitter space known as the steady state space. We prove that if the hypersurface i…
Calabi-Bernstein results for maximal surfaces in Lorentzian product spaces
Alma L. Albujer, Luis J. Alias
In this paper we establish new Calabi-Bernstein results for maximal surfaces immersed into a Lorentzian product space of the form , where is a connecte…