Immortal homogeneous Ricci flows
classification
🧮 math.DG
keywords
homogeneousricciimmortalblow-downscomeconstructingcurvatureestablished
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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 function based on curvature estimates which come from real geometric invariant theory.
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