Author

Bing Wang

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Preprint Nov 2026

Calabi flow on polarized K\"ahler surfaces

We study global smooth Calabi flows on polarized K\"ahler surfaces $(M,L)$, assuming uniformly bounded Sobolev constants and the algebraic conditions $\chi(\mathcal O_M)=1$ and $c_1(M)\cdot c_1(L)>0$. Using the orbifold compactness theorem, we prove a uniform Bergman estimate, construct a normal test configuration for...

Hao-Zhao Li, Bing Wang, Kai Zheng · 0 citations

Preprint Oct 2026

Global $C^{2,\alpha}$ estimate for complex Monge--Amp\`ere equations on compact K\"ahler manifolds

In this paper, we prove a global $C^{2,\alpha}$ estimate for the complex Monge--Amp\`ere equation with a positive $C^\alpha$ right-hand side on a compact K\"ahler manifold.

Hao-Zhao Li, Bing Wang, Kai Zheng · 0 citations