https://neckpinch.com/authors/sammy-sbiti/New arXiv papers by Sammy Sbiti, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2312.01469/arxiv:2312.01469Sun, 03 Dec 2023 00:00:00 GMTAnusha 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 guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, i.e., they are invariant under the right action of their collapsing torus. As a byproduct of these additional torus symmetries, we prove that these solutions converge, backward in time, in the Gromov-Hausdorff topology to an Einstein metric on the base of a torus bundle.Ricci flowAncient solutionsEinstein metrics(Non)collapsingLimit spaces & RCDHomogeneous spaces https://neckpinch.com/papers/2110.05818/arxiv:2110.05818Tue, 12 Oct 2021 00:00:00 GMTFrancesco 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, under a suitable rescaling, to an Einstein metric on the base of a torus fibration. This construction generalizes all previous known examples in the literature.Ricci flowAncient solutionsEinstein metricsLimit spaces & RCDHomogeneous spaces