Long-time behavior of awesome homogeneous Ricci flows
Differential Geometry
2025-07-08 v2
Abstract
We show that the set of awesome homogeneous metrics on non-compact manifolds is Ricci flow invariant. Moreover, if the universal cover of such awesome homogeneous space is not contractible the Ricci flow has finite extinction time, confirming the Dynamical Alekseevskii Conjecture in this case. We also analyze the long-time limits of awesome homogeneous Ricci flows.
Keywords
Cite
@article{arxiv.2312.16517,
title = {Long-time behavior of awesome homogeneous Ricci flows},
author = {Roberto Araujo},
journal= {arXiv preprint arXiv:2312.16517},
year = {2025}
}
Comments
26 pages. Updated to match the version published in the Pacific Journal of Mathematics