English

Rigidity of Five-Dimensional shrinking gradient Ricci solitons

Differential Geometry 2025-06-03 v1

Abstract

Suppose (M,g,f)(M, g, f) is a 5-dimensional complete shrinking gradient Ricci soliton with R=1R=1. If it has bounded curvature, we prove that it is a finite quotient of R3×S2\mathbb{R}^3\times \mathbb{S}^2.

Keywords

Cite

@article{arxiv.2506.00887,
  title  = {Rigidity of Five-Dimensional shrinking gradient Ricci solitons},
  author = {Fengjiang Li and Jianyu Ou and Yuanyuan Qu and Guoqiang Wu},
  journal= {arXiv preprint arXiv:2506.00887},
  year   = {2025}
}
R2 v1 2026-07-01T02:52:55.622Z