Immortal homogeneous Ricci flows

By Christoph Böhm, Ramiro A. Lafuente. 2017

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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.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e87e44392682b4c8fb1331872966495fdccc641e