Publication details
HOMOGENEOUS EINSTEIN METRICS ON G(2)/T
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | Proceedings of the American Mathematical Society |
| MU Faculty or unit | |
| Citation | |
| web | Full Text |
| Doi | http://dx.doi.org/10.1090/S0002-9939-2013-11682-5 |
| Keywords | Homogeneous Einstein metric; full flag manifold; exceptional Lie group G(2) |
| Description | We construct the Einstein equation for an invariant Riemannian metric on the exceptional full flag manifold M = G(2)/T. By computing a Grobner basis for a system of polynomials on six variables we prove that this manifold admits exactly two non-Kahler invariant Einstein metrics. Thus G(2)/T turns out to be the first known example of an exceptional full flag manifold which admits a non-Kahler and not normal homogeneous Einstein metric. |