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arXiv · 2511.20035

Constant holomorphic sectional curvature conjecture and Fino-Vezzoni conjecture

Fangyang Zheng
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Abstract

In this short essay, we will survey on two conjectures in non-K\"ahler geometry: the constant holomorphic sectional curvature conjecture and the Fino-Vezzoni conjecture. We aim at the broad audience and assume no expertise in non-K\"ahler geometry. We will discuss the history and recent developments on these two typical conjectures in the field.

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Fangyang Zheng. 2025-11-25. Constant holomorphic sectional curvature conjecture and Fino-Vezzoni conjecture. https://arxiv.org/abs/2511.20035

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