• openAccess   Comparison theory of Lorentzian distance with applications to spacelike hypersurfaces 

      Alías, Luis J.; Hurtado, Ana; Palmer Andreu, Vicente American Institute of Physics (2009)
      In this paper we summarize some comparison results for the Lorentzian distance function in spacetimes, with applications to the study of the geometric analysis of the Lorentzian distance on spacelike hypersurfaces. In ...
    • openAccess   Geometric analysis of Lorentzian distance function on spacelike hypersurfaces 

      Alías, Luis J.; Hurtado, Ana; Palmer Andreu, Vicente American Mathematical Society (2010)
      Abstract. 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 distance to a spacelike hypersurface ...