3 papers
math.DG2025
Rigidity of Five-Dimensional shrinking gradient Ricci solitons
Fengjiang Li, Jianyu Ou, Yuanyuan Qu +1
Suppose is a 5-dimensional complete shrinking gradient Ricci soliton with . If it has bounded curvature, we prove that it is a finite quotient of $\mathbb{R}^3\tim…
math.DG2024
Some rigidity results on shrinking gradient Ricci soliton
Jianyu Ou, Yuanyuan Qu, Guoqiang Wu
Suppose is a complete shrinking gradient Ricci soliton. We give several rigidity results under some natural conditions, generalizing the results in \cite{Petersen-Wyl…
math.DG2022
Liouville Theorem on Ricci shrinkers with constant scalar curvature and its application
Weixiong Mai, Jianyu Ou
In this paper we consider harmonic functions on gradient shrinking Ricci solitons with constant scalar curvature. A Liouville theorem is proved without using gradient estimate : an…