38 citations · 40 across the 6 of their papers we have counts for
6 papers
Hypersurfaces in space forms satisfying the condition
Luis J. Alias, S. M. B. Kashani
We study hypersurfaces either in the sphere \s{n+1} or in the hyperbolic space \h{n+1} whose position vector satisfies the condition , where is the linearized…
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…
On the scalar curvature of constant mean curvature hypersurfaces in space forms
Luis J. Alias, S. Carolina Garcia-Martinez
In this paper we study the behavior of the scalar curvature of a complete hypersurface immersed with constant mean curvature into a Riemannian space form of constant curvature,…
The mean curvature of cylindrically bounded submanifolds
L. J. Alias, G. Pacelli Bessa, M. Dajczer
We give an estimate of the mean curvature of a complete submanifold lying inside a closed cylinder in a product Riemannian manifold $N^{n-\ell}\times\R^{\ell}…