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Immortal homogeneous Ricci flows

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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… Click to show full 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.

Keywords: immortal homogeneous; ricci flows; ricci; homogeneous ricci

Journal Title: Inventiones mathematicae
Year Published: 2017

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