4 papers
Finite Time Noncollapsing Kähler-Ricci Flow: Gaussian Type Heat Kernel, Gromov-Hausdorff Limits
Lei Zhang, Zhenlei Zhang
In this paper, we study heat kernel estimates along the Kähler-Ricci flow with finite time noncollapsing singularities over a compact Kähler manifold. The starting point is the typ…
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…
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…
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…