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11 papers · 1 filter
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…
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,…
Periodic Geodesics and Geometry of Compact Lorentzian Manifolds with a Killing Vector Field
Jose Luis Flores, Miguel Angel Javaloyes, Paolo Piccione
We study the geometry and the periodic geodesics of a compact Lorentzian manifold that has a Killing vector field which is timelike somewhere. Using a compactness argument for subg…
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}…
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…
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…