On compact manifolds admitting indefinite metrics with parallel Weyl tensor

Details On compact manifolds admitting indefinite metrics with parallel Weyl tensor On compact manifolds admitting indefinite metrics with parallel Weyl tensor

2007-05-08

arxiv.org/abs/0705.1106v1

Journal of Geometry and Physics, vol. 58 (2008), no. 9, pp. 1137-1147

Mathematics

Differential Geometry

20 pages

Scientific paper

10.1016/j.geomphys.2008.03.011

Compact pseudo-Riemannian manifolds that have parallel Weyl tensor without being conformally flat or locally symmetric are known to exist in infinitely many dimensions greater than 4. We prove some general topological properties of such manifolds, namely, vanishing of the Euler characteristic and real Pontryagin classes, and infiniteness of the fundamental group. We also show that, in the Lorentzian case, each of them is at least 5-dimensional and admits a two-fold cover which is a bundle over the circle.

Affiliated with

Also associated with

No associations

Rating

On compact manifolds admitting indefinite metrics with parallel Weyl tensor 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 On compact manifolds admitting indefinite metrics with parallel Weyl tensor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On compact manifolds admitting indefinite metrics with parallel Weyl tensor will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-153795