Geodesic
Homogeneous Einstein Manifolds with Vanishing $S$ Curvature
Canadian mathematical bulletin, Tome 62 (2019) no. 3, pp. 525-537

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DOI

Infinitely many new Einstein Finsler metrics are constructed on several homogeneous spaces. By imposing certain conditions on the homogeneous spaces, it is shown that the Ricci constant condition becomes an ordinary differential equation. The regular solutions of this equation lead to a two parameter family of Einstein Finsler metrics with vanishing $S$ curvature.
DOI : 10.4153/S0008439519000067
Mots-clés : homogeneous Finsler space, Einstein manifold, S curvature 
Huang, Libing; Shen, Zhongmin. Homogeneous Einstein Manifolds with Vanishing $S$ Curvature. Canadian mathematical bulletin, Tome 62 (2019) no. 3, pp. 525-537. doi: 10.4153/S0008439519000067
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     title = {Homogeneous {Einstein} {Manifolds} with {Vanishing} $S$ {Curvature}},
     journal = {Canadian mathematical bulletin},
     pages = {525--537},
     year = {2019},
     volume = {62},
     number = {3},
     doi = {10.4153/S0008439519000067},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439519000067/}
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