Publication details
Complete description of invariant Einstein metrics on the generalized flag manifold SO(2n)/U(p) × U(n − p)
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | Annals of Global Analysis and Geometry |
| Citation | |
| web | https://link.springer.com/article/10.1007/s10455-010-9221-5 |
| Doi | http://dx.doi.org/10.1007/s10455-010-9221-5 |
| Keywords | Homogeneous manifold; Einstein metric; Generalized flag manifold; Algebraic systems of equations; Resultant |
| Description | We find the precise number of non-Kähler SO(2n)-invariant Einstein metrics on the generalized flag manifold M = SO(2n)/U(p)×U(n-p) with n ? 4 and 2 ? p ? n-2. We use an analysis on parametric systems of polynomial equations and we give some insight towards the study of such systems. We also examine the isometric problem for these Einstein metrics. |