Ricci flow on certain homogeneous spaces

Abstract

We study the behavior of the normalized Ricci flow of invariant Riemannian metrics at infinity for generalized Wallach spaces, generalized flag manifolds with four isotropy summands and second Betti number equal to one, and the Stiefel manifolds V2Rn and V1+k2Rn, with n= 1 + k2+ k3. We use techniques from the theory of differential equations, in particular the Poincaré compactification. © 2022, The Author(s), under exclusive licence to Springer Nature B.V.