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Standard homogeneous Einstein manifolds. (English. Russian original) Zbl 0826.53044

Russ. Acad. Sci., Dokl., Math. 47, No. 1, 37-40 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 328, No. 2, 147-149 (1993).
In this paper the author gives a classification of standard homogeneous simply connected Einstein manifolds \(G/H\), \(G\) being a compact connected semisimple Lie group which acts effectively on \(G/H\). The work uses the classification of Einstein \(G/H\) with \(G\) simple, which is due to J. A. Wolf and Wang-Ziller, as cited in the paper.
Reviewer: H.Azad (Islamabad)

MSC:

53C30 Differential geometry of homogeneous manifolds
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
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