Yiyan Xu

activity

20122023

collaborators

Showing math.DGShow all

4 papers · 1 filter

math.DG2024

On some new Ricci flow invariant curvature conditions

Yiyan Xu

We would like to study new Ricci flow invariant curvature conditions. Specifically, we provide quantitative evidence for an unpublished conjecture of Böhm and Wilking. As an applic…

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 new Ricci flow invariant curvature conditions

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 $R^{n + 1}$