Publication details
Invariant Einstein metrics on flag manifolds with four isotropy summands
| 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/s10455-009-9183-7 |
| Doi | http://dx.doi.org/10.1007/s10455-009-9183-7 |
| Keywords | Homogeneous manifold; Einstein metric; Generalized flag manifold; Isotropy representation; t-roots |
| Description | A generalized flag manifold is a homogeneous space of the form G/K, where K is the centralizer of a torus in a compact connected semisimple Lie group G. We classify all flag manifolds with four isotropy summands by the use of t-roots. We present new G-invariant Einstein metrics by solving explicity the Einstein equation. We also examine the isometric problem for these Einstein metrics. |