Immortal homogeneous Ricci flows
Differential Geometry
2018-05-09 v4
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
Cite
@article{arxiv.1701.00628,
title = {Immortal homogeneous Ricci flows},
author = {Christoph Böhm and Ramiro A. Lafuente},
journal= {arXiv preprint arXiv:1701.00628},
year = {2018}
}
Comments
Final version, to appear in Invent. Math