Uniform Diameter and Non-collapsing Estimates for Kähler Metrics

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.

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Publication Details

Journal
Journal of Geometric Analysis
Published
2026-01-16
DOI
https://doi.org/10.1007/s12220-026-02322-2
Citations
1
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
77.77

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article

Uniform Diameter and Non-collapsing Estimates for Kähler Metrics

Duc‐Viet Vu
1 citations
Journal of Geometric Analysis
Geometry and complex manifolds
77.77
article

Uniform Diameter and Non-collapsing Estimates for Kähler Metrics

Duc‐Viet Vu
article en
1 citations

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.

Journal of Geometric AnalysisVol. 36(2)
TH Köln - University of Applied Sciences (DE), University of Cologne (DE)
Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche
Reduced inequalities
Openalex Percentile: Top 1%
Geometry and complex manifolds
77.77
DOIOpen Access PDFOpenAlex
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