Xiaohua Zhu

activity

20062026

most citedPerelman's W-functional and stability of Kähler-Ricci flow

21 citations · 135 across the 35 of their papers we have counts for

collaborators

37 papers

math.DG2026

Weighted volume comparison and monotonicity for $L^{p}$ -bound of Bakry-Émery Ricci curvature

Jintao Ye, Xiaohua Zhu

We establish a Petersen-Wei type relative volume comparison theorem for weighted Riemannian manifolds under both $L^{p}$ -bounds of the Bakry-Émery Ricci curvature and the gradient of…

math.DG2022

Rigidity of the Bryant Ricci soliton

Ziyi Zhao, Xiaohua Zhu

We introduce a new curvature-pinching condition, which is weaker than the positive sectional curvature or PIC1, and then we prove several rigidity results for the rotationally symm…

math.DG2022

Horosymmetric limits of Kähler-Ricci flow on Fano $G$ -manifolds

Gang Tian, Xiaohua Zhu

In this paper, we prove that on a Fano $G$ -manifold $(M, J)$ , the Gromov-Hausdorff limit of Kähler-Ricci flow with initial metric in $2 π c_{1} (M)$ must be a $Q$ -Fano ho…

math.DG2021

Kähler-Ricci flow for deformed complex structures

Gang Tian, Liang Zhang, Xiaohua Zhu

Let $(M, J_{0})$ be a Fano manifold which admits a Kähler-Ricci soliton, we analyze the behavior of the Kähler-Ricci flow near this soliton as we deform the complex structure $J_{0}$ . F…

math.DG2020

An application of a $C^{2}$ -estimate for a complex Monge-Ampère equation

Chang Li, Lei Ni, Xiaohua Zhu

By studying a complex Monge-Ampère equation, we present an alternate proof to a recent result of Chu-Lee-Tam concerning the projectivity of a compact Kähler manifold $N^{n}$ with $\R…

math.DG2020

Uniformly strong convergence of Kähler-Ricci flows on a Fano manifold

Feng Wang, Xiaohua Zhu

In this paper, we study the uniformly strong convergence of Kähler-Ricci flow on a Fano manifold with varied initial metrics and smooth deformation complex structures. As an applic…

Weighted volume comparison and monotonicity for Lp-bound of Bakry-Émery Ricci curvature