Xiaohua Zhu

activity

20232025

collaborators

4 papers

math.DG2025

Laplace comparison on Kähler Ricci flow and convergence

Gang Tian, Qi S. Zhang, Zhenlei Zhang +2

We first prove a uniform integral Laplace comparison result for the Kähler Ricci flow on Fano manifolds which depends only on the initial metric. As an application, using Cheeger-C…

math.DG2024

No compact split limit Ricci flow of type II from the blow-down

Ziyi Zhao, Xiaohua Zhu

By Perelman's $L$ -geodesic theory, we study the blow-down solutions on a noncompact $κ$ -noncollapsed steady gradient Ricci soliton $(M^{n}, g)$ $(n \geq 4)$ with nonnegative c…

math.DG2024

Steady gradient Ricci solitons with nonnegative curvature operator away from a compact set

Ziyi Zhao, Xiaohua Zhu

Let $(M^{n}, g)$ $(n \geq 4)$ be a complete noncompact $κ$ -noncollapsed steady Ricci soliton with $Rm \geq 0$ and $Ric > 0$ away from a compact set $K$ of $M$ . We prove that the…

math.DG2023

$4 d$ steady gradient Ricci solitons with nonnegative curvature away from a compact set

Ziyi Zhao, Xiaohua Zhu

In the paper, we analysis the asymptotic behavior of noncompact $κ$ -noncollapsed steady gradient Ricci soliton $(M, g)$ with nonnegative curvature operator away from a compact set…

Laplace comparison on Kähler Ricci flow and convergence

No compact split limit Ricci flow of type II from the blow-down

Steady gradient Ricci solitons with nonnegative curvature operator away from a compact set

4d steady gradient Ricci solitons with nonnegative curvature away from a compact set

$4 d$ steady gradient Ricci solitons with nonnegative curvature away from a compact set