3 papers
math.DG2026
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…
math.DG2026
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…
math.DG2026
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 e…