Local noncollapsing for complex Monge-Amp\`ere equations
Differential Geometry
2022-10-04 v2 Analysis of PDEs
Abstract
We prove a local volume noncollapsing estimate for K\"ahler metrics induced from a family of complex Monge-Amp\`ere equations, assuming a local Ricci curvature lower bound. This local volume estimate can be applied to establish various diameter and gradient estimate.
Keywords
Cite
@article{arxiv.2201.02930,
title = {Local noncollapsing for complex Monge-Amp\`ere equations},
author = {Bin Guo and Jian Song},
journal= {arXiv preprint arXiv:2201.02930},
year = {2022}
}
Comments
Minor revision