Simplicial Volume and Scalar Curvature on Closed Kähler Surfaces

Jie Min, Fangyang Zheng, Bo Zhu

Let $M$ be a closed Kähler surface. We prove that every Riemannian metric $g$ on $M$ with ${\mathrm{Sc}}_g\ge -{\lambda }^2$, where $\lambda \ge 0$, satisfies $$ \lVert M\rVert\leq \frac{27}{…