Local classification of K\"ahler metrics with constant holomorphic sectional curvature
Differential Geometry
2025-07-30 v2
Abstract
We prove the local classification of K\"ahler metrics with constant holomorphic sectional curvature by exploiting the geometry of the bundle of 1-jets of holomorphic functions.
Keywords
Cite
@article{arxiv.2507.06855,
title = {Local classification of K\"ahler metrics with constant holomorphic sectional curvature},
author = {Martin de Borbon},
journal= {arXiv preprint arXiv:2507.06855},
year = {2025}
}
Comments
12 pages, exposition improved