Jianyu Ou

collaborators

3 papers

math.DG2025

Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature

Fengjiang Li, Jianyu Ou, Yuanyuan Qu +1

Let $(M, g, f)$ be a $5$ -dimensional complete noncompact gradient shrinking Ricci soliton with the equation $R i c + \nabla^{2} f = I^» g$ , where $Ric$ is the Ricci tensor and $\nabla…

math.DG2025

Rigidity of Five-Dimensional shrinking gradient Ricci solitons

Fengjiang Li, Jianyu Ou, Yuanyuan Qu +1

Suppose $(M, g, f)$ is a 5-dimensional complete shrinking gradient Ricci soliton with $R = 1$ . 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 $(M^{n}, g, f)$ is a complete shrinking gradient Ricci soliton. We give several rigidity results under some natural conditions, generalizing the results in \cite{Petersen-Wyl…