| Title:
|
Einstein metrics on a class of five-dimensional homogeneous spaces (English) |
| Author:
|
Rodionov, E. D. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
389-393 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We prove that there is exactly one homothety class of invariant Einstein metrics in each space $SU(2) \times SU(2) / SO(2)_r (r\in Q, \, |r|\neq 1)$ defined below. (English) |
| Keyword:
|
homogeneous Riemannian manifolds |
| Keyword:
|
Einstein manifolds |
| Keyword:
|
Ricci tensor |
| Keyword:
|
sectional curvature |
| MSC:
|
53C25 |
| MSC:
|
53C30 |
| idZBL:
|
Zbl 0747.53037 |
| idMR:
|
MR1137801 |
| . |
| Date available:
|
2009-01-08T17:45:15Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/116981 |
| . |
| Reference:
|
[B] Besse A.: Einstein manifolds.Springer Verlag, Berlin, 1987. Zbl 1147.53001, MR 0867684 |
| Reference:
|
[J] Jensen G.R.: Homogeneous Einstein spaces of dimension $4$.J. of Diff. Geom. 3 (1969), 309-349. MR 0261487 |
| Reference:
|
[K-V] Kowalski O., Vanhecke L.: Classification of five-dimensional naturally reductive spaces.Math. Proc. Camb. Phil. Soc. 97 (1985), 445-463. Zbl 0555.53024, MR 0778679 |
| . |
