| Title:
|
On a new family of homogeneous Einstein manifolds (English) |
| Author:
|
Rodionov, E. D. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
28 |
| Issue:
|
2 |
| Year:
|
1992 |
| Pages:
|
199-204 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We show that there exists exactly one homothety class of invariant Einstein metrics on each space $[SU(2)]^{S+1}/T^S$ defined below. (English) |
| Keyword:
|
Einstein manifolds |
| Keyword:
|
homogeneous Riemannian manifolds |
| Keyword:
|
Ricci curvature |
| Keyword:
|
curvature tensor |
| MSC:
|
53C25 |
| MSC:
|
53C30 |
| idZBL:
|
Zbl 0787.53037 |
| idMR:
|
MR1222287 |
| . |
| Date available:
|
2008-06-06T21:22:52Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107451 |
| . |
| Reference:
|
[B] Besse, A.: Einstein manifolds.Springer Verlag, Berlin, 1987. Zbl 0613.53001, MR 0867684 |
| Reference:
|
[J – K] Jimenez, J.A., Kowalski, O.: The classification of $\varphi $-symmetric Sasakian manifolds.1991, preprint. MR 1223246 |
| Reference:
|
[K – W] Kowalski, O., Wegrzynowski, S.: A classification of five-dimensional $\varphi $-symmetric spaces.Tensor, N.S. 46 (1987), 379-386. |
| Reference:
|
[R] Rodionov, E.D.: Einstein metrics an a class of five-dimensional homogenous spaces.1991, to appear in CMUC, Prague. MR 1137801 |
| Reference:
|
[T] Takahashi, T.: Sasakian $\varphi $-symmetric spaces.Tohoku Math. J. 29 (1977), 91-113. Zbl 0343.53030, MR 0440472 |
| . |
