Local classification of K¤hler metrics with constant holomorphic sectional curvature

ABSTRACT We prove the local classification of Kähler metrics with constant holomorphic sectional curvature by exploiting the geometry of the bundle of $1$-jets of holomorphic functions.

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Publication Details

Journal
The Quarterly Journal of Mathematics
Published
2025-11-12
DOI
https://doi.org/10.1093/qmath/haaf046
Primary Topic
Geometry and complex manifolds
Type
article
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article

Local classification of K¤hler metrics with constant holomorphic sectional curvature

Martin de Borbon
The Quarterly Journal of Mathematics
Geometry and complex manifolds
article

Local classification of K¤hler metrics with constant holomorphic sectional curvature

Martin de Borbon
article en

Abstract

ABSTRACT We prove the local classification of Kähler metrics with constant holomorphic sectional curvature by exploiting the geometry of the bundle of $1$-jets of holomorphic functions.

The Quarterly Journal of MathematicsVol. 76(4)
Loughborough University (GB)
Openalex Percentile: Top 57%
Geometry and complex manifolds
DOIOpen Access PDFOpenAlex
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Local classification of K¤hler metrics with constant holomorphic sectional curvature — Martin de Borbon · The Quarterly Journal of Mathematics (2025) | TGRS Research Map | TGRS