378 citations
- Universitat de ValènciaES19 papers
- Kyoto UniversityJP5 papers
- The Abdus Salam International Centre for Theoretical Physics (ICTP)IT5 papers
- Consejo Nacional de Investigaciones Científicas y TécnicasAR4 papers
- Instituto Superior TécnicoPT4 papers
- Technical University of MunichDE4 papers
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- Forschungszentrum JülichDE3 papers
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5 papers · 2 filters
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…
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…