Linwei Zhang

activity

20232026

collaborators

3 papers

math.DG2026

Calabi metric on the space of k-Hessian potentials

Linwei Zhang

Let $(X, ω)$ be a compact Kähler manifold of complex dimension $n$ , and let $1 \leq k \leq n$ . We consider the space of smooth $k$ -admissible potentials introduced in the study of the…

math.DG2025

Calabi flow with bounded $L^{p}$ scalar curvature (II)

Haozhao Li, Linwei Zhang

In this paper, we show that on a compact Kähler manifold the Calabi flow can be extended as long as some space-time $L^{p}$ integrals of the scalar curvature are bounded.

math.DG2023

Calabi flow with bounded $L^{p}$ scalar curvature

Haozhao Li, Linwei Zhang, Kai Zheng

In this paper, we show that the Calabi flow can be extended as long as the $L^{p}$ scalar curvature is uniformly bounded for some $p > n$ , and on a compact extremal Kähler manifold the…

Calabi metric on the space of k-Hessian potentials

Calabi flow with bounded Lp scalar curvature (II)

Calabi flow with bounded Lp scalar curvature

Calabi flow with bounded $L^{p}$ scalar curvature (II)

Calabi flow with bounded $L^{p}$ scalar curvature