Complete Einstein metrics are geodesically rigid

Details Complete Einstein metrics are geodesically rigid Complete Einstein metrics are geodesically rigid

2008-06-19

arxiv.org/abs/0806.3169v2

Comm. Math. Phys. 289(2009), no. 1, 383--400

Mathematics

Differential Geometry

misprints corrected, references updated. 22 pages, one .eps figure

Scientific paper

10.1007/s00220-008-0719-7

We prove that every complete Einstein (Riemannian or pseudo-Riemannian)
metric $g$ is geodesically rigid: if any other complete metric $\bar g$ has the
same (unparametrized) geodesics with $g$, then the Levi-Civita connections of
$g$ and $\bar g$ coincide.

Affiliated with

Also associated with

No associations

Rating

Complete Einstein metrics are geodesically rigid 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 Complete Einstein metrics are geodesically rigid, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complete Einstein metrics are geodesically rigid will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-562861