On evolution of invariant Riemannian metrics on generalized Wallach spaces under the normalized Ricci flow (Q1623290)

This paper deals with the evolution of invariant Riemannian metrics on generalized Wallach spaces. In the cases of the spaces \(\mathrm{SU}(3)/T_{\max}\), \(\mathrm{Sp}(3)/\mathrm{Sp}(1)^3\) and \(F_4/\mathrm{Spin}(8)\), the author states that the generic invariant Riemannian metrics with positive sectional curvature evolve into metrics with mixed sectional curvature. The strategy consists in the reduction of the normalized Ricci flow to an ordinary differential system where a thorough analysis is given. For the entire collection see [Zbl 1392.46001].