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Einstein manifolds; homogeneous Riemannian manifolds; Ricci curvature; curvature tensor
We show that there exists exactly one homothety class of invariant Einstein metrics on each space $[SU(2)]^{S+1}/T^S$ defined below.
[B] Besse, A.: Einstein manifolds. Springer Verlag, Berlin, 1987. MR 0867684 | Zbl 0613.53001
[J – K] Jimenez, J.A., Kowalski, O.: The classification of $\varphi $-symmetric Sasakian manifolds. 1991, preprint. MR 1223246
[K – W] Kowalski, O., Wegrzynowski, S.: A classification of five-dimensional $\varphi $-symmetric spaces. Tensor, N.S. 46 (1987), 379-386.
[R] Rodionov, E.D.: Einstein metrics an a class of five-dimensional homogenous spaces. 1991, to appear in CMUC, Prague. MR 1137801
[T] Takahashi, T.: Sasakian $\varphi $-symmetric spaces. Tohoku Math. J. 29 (1977), 91-113. MR 0440472 | Zbl 0343.53030
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