Almost conformally Einstein manifolds and obstructions

Details Almost conformally Einstein manifolds and obstructions Almost conformally Einstein manifolds and obstructions

2004-12-20

arxiv.org/abs/math/0412393v1

Mathematics

Differential Geometry

proceedings of the 9th International Conference on Differential Geometry and its Applications

Scientific paper

A Riemannian or pseudo-Riemannian (or conformal) structure is conformally Einstein if and only if there is a suitably generic parallel section of a certain vector bundle -- the so-called standard conformal tractor bundle. We show that this characterisation leads to a systematic approach to constructing obstructions to conformally Einstein metrics. Relaxing the requirement that the parallel tractor field be generic gives a natural generalisation of the Einstein equations.

Affiliated with

Also associated with

No associations

Rating

Almost conformally Einstein manifolds and obstructions 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 Almost conformally Einstein manifolds and obstructions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Almost conformally Einstein manifolds and obstructions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-577130