Spectral Improvements of Geometric Inequalities on Closed Kähler Manifolds

Sayantan Chakraborty, Xiaodong Wang, Tian Wu

Let $(M,g,J)$ be a closed Kähler manifold satisfying $\mathrm{Ric}⩾g$. We establish improved Liouville theorems for the Euler--Lagrange equations associated with the…