Uniform Diameter and Non-collapsing Estimates for Kähler Metrics
Abstract
Abstract We prove a uniform diameter estimate and a uniform local non-collapsing of volumes for a large family of Kähler metrics generalizing those obtained recently by Guo-Phong-Song-Sturm. We treat also similar questions in the singular setting.
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Journal of Geometric Analysis
- Publisher
- Springer Science and Business Media LLC
- Volume
- 36
- Issue
- 2
- Publication date
- 16 January 2026
- Language
- EN