What question did this study set out to answer?

The research aims to establish uniform diameter and non-collapsing volume estimates for Kähler metrics.

January 18, 2026Open Access

Uniform Diameter and Non-collapsing Estimates for Kähler Metrics

Key Points

The research aims to establish uniform diameter and non-collapsing volume estimates for Kähler metrics.
Proved uniform diameter estimates for Kähler metrics
Generalized findings from prior work by Guo-Phong-Song-Sturm
Addressed similar questions in singular settings
Demonstrated uniform estimates across a large family of Kähler metrics
Showed local non-collapsing of volumes in various scenarios

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.

Uniform Diameter and Non-collapsing Estimates for Kähler Metrics

Key Points

Abstract

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