English

Constant holomorphic sectional curvature conjecture and Fino-Vezzoni conjecture

Differential Geometry 2025-11-26 v1

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.

Keywords

Cite

@article{arxiv.2511.20035,
  title  = {Constant holomorphic sectional curvature conjecture and Fino-Vezzoni conjecture},
  author = {Fangyang Zheng},
  journal= {arXiv preprint arXiv:2511.20035},
  year   = {2025}
}

Comments

18 pages, survey article, all comments are welcome