Immortal homogeneous Ricci flows

Abstract

We show that for an immortal homogeneous Ricci flow solution any sequence of parabolic blow-downs subconverges to a homogeneous expanding Ricci soliton. This is established by constructing a new Lyapunov function based on curvature estimates which come from real geometric invariant theory.

Final version, to appear in Invent. Math

References in corpus (1)

• Ricci flow with surgery on three-manifolds

Cited by in corpus (9)

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• Ricci flow of warped Berger metrics on ${\mathbb{R}}^4$
• On the Isometry Group of Immortal Homogeneous Ricci Flows
• Positive Hermitian Curvature Flow on nilpotent and almost-abelian complex Lie groups
• Long-time behavior of awesome homogeneous Ricci flows
• A survey on locally Homogeneous almost-Hermitian spaces