ON HOMOGENEOUS SQUARE EINSTEIN METRICS

D. V. Alekseevskii and B. N. Kinmel'fel'd, Structure of homogeneous Riemannian spaces with zero Ricci curvature, Functional Anal. Appl. 9 (1975), 95-102.
X. Cheng, Z. Shen, and Y. Tian, A class of Einstein (${\alpha}$,${\beta}$)-metrics, Israel J. Math. 192 (2012), no. 1, 221-249. https://doi.org/10.1007/s11856-012-0036-x
S. Deng, Homogeneous Finsler Spaces, Springer, New York, 2012.
S. Deng and Z. Hou, Weakly symmetric Finsler spaces, Commun. Contemp. Math. 12 (2010), no. 2, 309-323. https://doi.org/10.1142/S0219199710003816
S. Deng, D. C. Kertesz, and Z. Yan, There are no proper Berwald-Einstein manifolds, Publ. Math.-Debrecen 86 (2015), no. 1-2, 245-249. https://doi.org/10.5486/PMD.2015.7102
S. Ishihara, Groups of projective transformations and groups of conformal transformations, J. Math. Soc. Japan 9 (1957), 195-227. https://doi.org/10.2969/jmsj/00920195
Z. Shen and C. Yu, On Einstein square metrics, preprint, arXiv: 1209.3876, 2012.
J. A. Wolf, Sur la classification des varietes riemanniennes homogenes a courbure constante, C. R. Math. Sci. Paris 250 (1960), 3443-3445.
J. A. Wolf, Spaces of constant curvature, Surveys and Monographs of Amer. Math. Soc., 2011.
L. Zhou, A local classification of a class of (${\alpha}$, ${\beta}$)-metrics with constant flag curvature, Differential Geom. Appl. 28 (2010), no. 2, 170-193. https://doi.org/10.1016/j.difgeo.2009.05.008