Guoqiang Wu

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20242026

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math.DG2026

Rigidity of shrinking gradient ricci soliton with constant scalar curvature

Fengjiang Li, Yuanyuan Qu, Guoqiang Wu

Let $(M^{n}, g, f)$ be a complete shrinking gradient Ricci soliton with constant scalar curvature. Under the assumptions that (i) $R i c \geq \frac{\nabla _{\nabla f} R i c}{f}$ on $M\setm…

math.DG2026

A note on four dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature

Chen Wang, Guoqiang Wu

Let $(M^{4}, g, f)$ be a four-dimensional complete noncompact gradient shrinking Ricci soliton with the equation $R i c + \nabla^{2} f = \frac{1}{2} g$ . If its scalar curvature is $1$ , Cheng-…

math.DG2026

A note on Rigidity of Shrinking Gradient Ricci Solitons with Constant Scalar Curvature

Chen Wang, Guoqiang Wu

Let $(M^{n}, g, f)$ be an $n$ -dimensional complete noncompact gradient shrinking Ricci soliton with the equation $R i c + \nabla^{2} f = \frac{1}{2} g$ . 1. If its scalar curvature is $\frac{k…

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^…