Author

Fang-Yang Zheng

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Preprint Sep 2026

Balanced Bismut torsion-parallel manifold with constant holomorphic sectional curvature

A long-lasting conjecture in non-K\"ahler geometry says that any compact Hermitian manifold with constant holomorphic sectional curvature must be either K\"ahler or Chern flat. The conjecture is known to be true in dimension 2 but remains open in dimensions 3 or higher, except in several special cases. In this article...

Qing-Song Wang, Fang-Yang Zheng · 2 citations

Preprint Aug 2026

Simplicial Volume and Scalar Curvature on Closed K\"ahler Surfaces

Let $M$ be a closed K\"ahler surface. We prove that every Riemannian metric $g$ on $M$ with $\operatorname{Sc}_g\geq-\lambda^2$, where $\lambda\geq 0$, satisfies $$ \lVert M\rVert\leq \frac{27}{2}\,\lambda^4\operatorname{vol}_g(M). $$ This proves Gromov's quantitative scalar-curvature--simplicial-volume conjecture for...

Jie Min, Fang-Yang Zheng, Bo Zhu · 0 citations