论文标题
复杂的Monge-ampère方程的本地非策略
Local noncollapsing for complex Monge-Ampère equations
论文作者
论文摘要
假设局部RICCI曲率下限，我们证明了由复杂的Monge-Ampère方程家族引起的Kähler指标的局部体积非收缩估计值。该局部体积估计值可用于建立各种直径和梯度估计。
We prove a local volume noncollapsing estimate for Kähler metrics induced from a family of complex Monge-Ampère equations, assuming a local Ricci curvature lower bound. This local volume estimate can be applied to establish various diameter and gradient estimate.
