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arXiv · 1701.00628

Immortal homogeneous Ricci flows

Christoph Böhm·Ramiro A. Lafuente
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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.

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Christoph Böhm, Ramiro A. Lafuente. 2017-11-17. Immortal homogeneous Ricci flows. https://doi.org/10.1007/s00222-017-0771-z

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