On projectivized vector bundles and positive holomorphic sectional curvature
Differential Geometry
2023-03-31 v1 Algebraic Geometry
Complex Variables
Abstract
We generalize a construction of Hitchin to prove that, given any compact K\"ahler manifold with positive holomorphic sectional curvature and any holomorphic vector bundle over , the projectivized vector bundle admits a K\"ahler metric with positive holomorphic sectional curvature.
Keywords
Cite
@article{arxiv.1606.08347,
title = {On projectivized vector bundles and positive holomorphic sectional curvature},
author = {Angelynn Alvarez and Gordon Heier and Fangyang Zheng},
journal= {arXiv preprint arXiv:1606.08347},
year = {2023}
}