English

The dynamical Alekseevskii conjecture in dimension five

Differential Geometry 2025-07-25 v1

Abstract

We prove the dynamical Alekseevski conjecture in dimension five. We also provide a detailed analysis of the homogeneous Ricci flows on SO(3)R3/SO(2)SO(3)\ltimes \mathbb{R}^3/SO(2) and SL(2,C)/U(1)SL(2,\mathbb{C})/U(1).

Cite

@article{arxiv.2507.17781,
  title  = {The dynamical Alekseevskii conjecture in dimension five},
  author = {Maher Billon},
  journal= {arXiv preprint arXiv:2507.17781},
  year   = {2025}
}
R2 v1 2026-07-01T04:15:48.867Z