Locally Isotropic Pseudo-Riemannian Manifolds

Details Locally Isotropic Pseudo-Riemannian Manifolds Locally Isotropic Pseudo-Riemannian Manifolds

2004-09-11

arxiv.org/abs/math/0409189v1

Mathematics

Differential Geometry

Scientific paper

Locally isotropic pseudo-Riemannian manifolds are known to be locally symmetric; this result is due to Wolf. In the Riemannian setting one proof, due to Szab\'o, uses spectral properties of the so-called Szab\'o operator. In this paper we extend Szab\'o's method to the pseudo-Riemannian setting, obtaining results comparable to those of Wolf. Most results concerning the Szab\'o operator in the pseudo-Riemannian setting are presented using methods of algebraic topology. This paper exploits the polynomial nature of the Szab\'o operator along with its behavior over the nullcone, both of which have received little attention this far.

Affiliated with

Also associated with

No associations

Rating

Locally Isotropic Pseudo-Riemannian Manifolds 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 Locally Isotropic Pseudo-Riemannian Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Locally Isotropic Pseudo-Riemannian Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-560596