Informace o publikaci
HOMOGENEOUS EINSTEIN METRICS ON G(2)/T
| Autoři | |
|---|---|
| Rok publikování | 2013 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Proceedings of the American Mathematical Society |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | Full Text |
| Doi | http://dx.doi.org/10.1090/S0002-9939-2013-11682-5 |
| Klíčová slova | Homogeneous Einstein metric; full flag manifold; exceptional Lie group G(2) |
| Popis | 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. |