Publication details
Invariant Einstein metrics on generalized flag manifolds with two isotropy summands
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Periodical |
| Magazine / Source | Journal of the Australian Mathematical Society |
| Citation | |
| Web | https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/invariant-einstein-metrics-on-generalized-flag-manifolds-with-two-isotropy-summands/5731CF86712F8CDF4C1B98B30A6031A2 |
| Doi | http://dx.doi.org/10.1017/S1446788711001303 |
| Keywords | Einstein manifold; homogeneous space; generalized flag manifold; isotropy representation; highest weight; Weyl's formula; bordered Hessian |
| Description | Let M=G/K be a generalized flag manifold, that is, an adjoint orbit of a compact, connected and semisimple Lie group G. We use a variational approach to find non-Kähler homogeneous Einstein metrics for flag manifolds with two isotropy summands. We also determine the nature of these Einstein metrics as critical points of the scalar curvature functional under fixed volume. |