3 papers
math.DG2023
Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti
Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarante…
math.DG2021
Collapsed ancient solutions of the Ricci flow on compact homogeneous spaces
Francesco Pediconi, Sammy Sbiti
We prove a general existence theorem for collapsed ancient solutions to the Ricci flow on compact homogeneous spaces and we show that they converge in the Gromov-Hausdorff topology…
math.DG2020
On the Ricci Flow of Homogeneous Metrics on Spheres
Sammy Sbiti
We study the Ricci flow of the four-parameter family of Sp(n+1)-invariant metrics on spheres. We determine their forward behaviour and also classify ancient solutions. In doing so,…