3 papers
math.DG2026
Convergence of Scalar Curvature of Long Time Kähler-Ricci Flow on Kähler Manifold
Lei Zhang, Zhenlei Zhang
This paper is concerned with a class of the long time Kähler-Ricci flow on a compact Kähler manifold. It is shown that the uniform -entropy or uniform Sobolev inequality along t…
math.DG2026
Complex Monge-Ampère equation in Orlicz space and Diameter Bound
Lei Zhang, Zhenlei Zhang
In this paper, we establish diameter bounds for compact Kähler manifolds equipped with Kähler metrics , assuming the associated measure lies in a specific Orlicz space and satis…
math.DG2025
Semi-flat constant scalar curvature Kähler metric on elliptic surface
Zhenqu Wang, Zhenlei Zhang
We introduce and construct a novel type of canonical metric: the semi-flat constant scalar curvature Kähler (semi-flat cscK) current, which naturally arises in Calabi-Yau fibration…