Homogeneous Einstein metrics on G_2/T

Details Homogeneous Einstein metrics on G_2/T Homogeneous Einstein metrics on G_2/T

2010-10-18

arxiv.org/abs/1010.3661v1

Mathematics

Differential Geometry

19 pages

Scientific paper

We construct the Einstein equation for an invariant Riemannian metric on the exceptional full flag manifold $M=G_2/T$. By computing a Gr\"obner basis for a system of polynomials of multi-variables we prove that this manifold admits exactly two non-K\"ahler invariant Einstein metrics. Thus $G_2/T$ turns out to be the first known example of an exceptional full flag manifold which admits at least one non-K\"ahler and not normal homogeneous Einstein metric.

Affiliated with

Also associated with

No associations

Rating

Homogeneous Einstein metrics on G_2/T 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 Homogeneous Einstein metrics on G_2/T, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homogeneous Einstein metrics on G_2/T will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-306428