Curvature Estimates for the Continuity Method
Differential Geometry
2023-11-10 v2 Complex Variables
Abstract
We obtain curvature estimates for long time solutions of the continuity method on compact K\"ahler manifolds with semi-ample canonical line bundles. In this setting, initiated in arXiv:1410.3157 and arXiv:0709.0990, we adapt arguments from arXiv:1903.05939 for the K\"ahler-Ricci flow to this setup. As an application, we derive curvature bounds for general metrics on product manifolds.
Cite
@article{arxiv.2111.06615,
title = {Curvature Estimates for the Continuity Method},
author = {Hosea Wondo},
journal= {arXiv preprint arXiv:2111.06615},
year = {2023}
}
Comments
Corrected errors in previous version