Rodionov, E. D. 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) Cited in 2 Documents MSC: 53C30 Differential geometry of homogeneous manifolds 53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.) Keywords:homogeneous manifolds; Einstein metrics PDFBibTeX XMLCite \textit{E. D. Rodionov}, Russ. Acad. Sci., Dokl., Math. 47, No. 1, 1 (1993; Zbl 0826.53044); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 328, No. 2, 147--149 (1993)