Local classification of K\"ahler metrics with constant holomorphic sectional curvature

Martin de Borbon

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arXiv · 2507.06855

Local classification of K\"ahler metrics with constant holomorphic sectional curvature

Martin de Borbon

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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.

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Martin de Borbon. 2025-07-09. Local classification of K\"ahler metrics with constant holomorphic sectional curvature. https://arxiv.org/abs/2507.06855

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