3 papers
math.DG2026
Finite extinction time of a family of homogeneous Ricci flows
Roberto Araujo
We show that for a broad family of noncompact homogeneous Riemannian manifolds, the corresponding homogeneous Ricci flow solutions have finite extinction time, thereby confirming t…
math.DG2025
Long-time behavior of awesome homogeneous Ricci flows
Roberto Araujo
We show that the set of awesome homogeneous metrics on non-compact manifolds is Ricci flow invariant. Moreover, if the universal cover of such awesome homogeneous space is not cont…
math.DG2024
On the Isometry Group of Immortal Homogeneous Ricci Flows
Roberto Araujo
We establish a structure result for the isometry group of non-compact, homogeneous manifolds admitting an immortal homogeneous Ricci flow solution.