Geometric analysis of Lorentzian distance function on spacelike hypersurfaces
Geometric analysis of Lorentzian distance function on spacelike hypersurfaces
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 satisfying the Omori-Yau maximum principle. As a consequence, and under appropriate hypotheses on the (sectional or …