On a new family of homogeneous Einstein manifolds

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On a new family of homogeneous Einstein manifolds. (English). Archivum Mathematicum, vol. 28 (1992), issue 2, pp. 199-204

MSC: 53C25, 53C30 | MR 1222287 | Zbl 0787.53037

Keywords:
Einstein manifolds; homogeneous Riemannian manifolds; Ricci curvature; curvature tensor

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.

References:

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[T] Takahashi, T.: Sasakian $\varphi $-symmetric spaces. Tohoku Math. J. 29 (1977), 91-113. MR 0440472 | Zbl 0343.53030

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