Publication details
Homogeneous Einstein metrics on the generalized flag manifold Sp(n)/(U(p) × U(n−p))
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Periodical |
| Magazine / Source | Differential Geometry and its Applications |
| Citation | |
| web | https://www.sciencedirect.com/science/article/pii/S0926224511000428 |
| Doi | http://dx.doi.org/10.1016/j.difgeo.2011.04.003 |
| Keywords | Homogeneous manifold; Einstein metric; Generalized flag manifold; Algebraic system of equations; Resultant; Gröbner basis |
| Description | We find the precise number of non-Kähler Sp(n)-invariant Einstein metrics on the generalized flag manifold M = Sp(n)/(U(p) x U(n - p)) with n >= 3 and 1 <= p <= n - 1. We use an analysis on parametric systems of polynomial equations and we give some insight towards the study of such systems. |