Yiyan Xu

activity

20122023

collaborators

3 papers

math.DG2023

On some rigidity theorems of Q-curvature

Yiyan Xu, Shihong Zhang

In this paper, we investigate the rigidity of Q-curvature. Specifically, we consider a closed, oriented $n$ -dimensional ( $n \geq 6$ ) Riemannian manifold $(M, g)$ and prove the followi…

math.DG2014

A rigidity theorem for codimension one shrinking gradient Ricci solitons in $R^{n + 1}$

Pengfei Guan, Peng Lu, Yiyan Xu

We prove a splitting theorem for complete gradient Ricci soliton with nonnegative curvature and establish a rigidity theorem for codimension one complete shrinking gradient Ricci s…

math.DG2012

Convergence of metrics under self - dual Weyl tensor and Scalar curvature bounds

Yiyan Xu

We establish a $C^{1, α}$ compactness theorem for the metrics with bounded self - dual Weyl tensor and Scalar curvature. The key step is to estimate the $C^{1, α}$ harmonic radius, w…

On some rigidity theorems of Q-curvature

A rigidity theorem for codimension one shrinking gradient Ricci solitons in Rn+1

Convergence of metrics under self - dual Weyl tensor and Scalar curvature bounds

A rigidity theorem for codimension one shrinking gradient Ricci solitons in $R^{n + 1}$