5 papers
Global estimate for complex Monge--Ampère equations on compact Kähler manifolds
Haozhao Li, Bing Wang, Kai Zheng
In this paper, we prove a global estimate for the complex Monge--Ampère equation with a positive right-hand side on a compact Kähler manifold.
Long-time existence of the Calabi flow on Kähler surfaces with bounded Sobolev constants
Haozhao Li, Bing Wang, Kai Zheng
We prove that the Calabi flow extends past any finite time on compact Kähler surfaces if its Sobolev constants remain uniformly bounded. Moreover, we show the long-time existence o…
The Covariant Riesz Transforms on Riemannian Manifolds
Yongheng Han, Bing Wang
We establish the -boundedness of the local covariant Riesz transform for differential forms on manifold with bounded . Let be the Hodge Laplace operator on $…
The Ricci-DeTurck flow on complete manifolds
Jing-Bin Cai, Bing Wang
Based on the framework of Koch-Lamm and tensor heat kernel estimates, we obtain a uniform proof of the short-time existence, uniqueness, and continuous dependence for Ricci flows s…
The Calderón-Zygmund inequalities on evolving Riemannian manifolds
Yongheng Han, Bing Wang
The Calderón-Zygmund inequality is a cornerstone of harmonic analysis and partial differential equations. In this article, we establish various Calderón-Zygmund inequalities on evo…