| Title: | Some examples of homogeneous Einstein manifolds (English) | 
| Author: | Rodionov, E. D. | 
| Language: | English | 
| Journal: | Proceedings of the Winter School "Geometry and Physics" | 
| Volume: | |
| Issue: | 1991 | 
| Year: | |
| Pages: | [153]-155 | 
| . | |
| Category: | math | 
| . | |
| Summary: | The author obtains the classification of all invariant Einstein metrics on the following homogeneous spaces: $SU(3)/T\sb{\max}$, $Sp(3)/Sp(1) \times Sp(1) \times Sp(1)$, $F\sb 4/ \text {spin} (8)$, $SU(5)/Sp(2) \times T\sp 1$. Combining this with the results of other authors, the classification of all invariant Einstein metrics on all compact simply connected homogeneous spaces admitting a homogeneous Riemannian metric of positive sectional curvature is obtained. (English) | 
| MSC: | 53C25 | 
| MSC: | 53C30 | 
| idZBL: | Zbl 0795.53043 | 
| idMR: | MR1246629 | 
| . | |
| Date available: | 2009-07-13T21:29:47Z | 
| Last updated: | 2025-06-26 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/701514 | 
| . | 
| Files | Size | Format | View | 
|---|---|---|---|
| WSGP_11-1991-1_17.pdf | 430.9Kb | application/pdf | View/ |