Jianyu Ou

activity

20242026

collaborators

4 papers

math.DG2026

Kähler--Ricci Shrinkers with Constant Scalar Curvature Are Rigid

Wenqi Li, Jianyu Ou, Guoqiang Wu +1

Let $(M^{2 m}, g, f, J)$ be a complete gradient Kähler--Ricci shrinker satisfying \[ \operatorname{Ric}+\nabla^2 f=\frac12 g. \] We prove that if the scalar curvature is constant, then…

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…

math.DG2024

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 $R i c + \nabla^{2} f = λ g$ , where $Ric$ is the Ricci tensor and $\nabla^…