Geometric analysis of Lorentzian distance function on spacelike hypersurfaces

Details Geometric analysis of Lorentzian distance function on spacelike hypersurfaces Geometric analysis of Lorentzian distance function on spacelike hypersurfaces

2008-02-29

arxiv.org/abs/0802.4376v3

Mathematics

Differential Geometry

Final version (January 2009). To appear in the Transactions of the American Mathematical Society

Scientific paper

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 Ricci) curvatures of the ambient spacetime, we obtain sharp estimates for the mean curvature of those hypersurfaces. Moreover, we also give a suficient condition for its hyperbolicity.

Affiliated with

Also associated with

No associations

Rating

Geometric analysis of Lorentzian distance function on spacelike hypersurfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric analysis of Lorentzian distance function on spacelike hypersurfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric analysis of Lorentzian distance function on spacelike hypersurfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-353001