A note on the almost one half holomorphic pinching
Differential Geometry
2017-09-11 v1
Abstract
Motivated by a previous work of Zheng and the second named author, we study pinching constants of compact K\"ahler manifolds with positive holomorphic sectional curvature. In particular we prove a gap theorem following the work of Petersen and Tao on Riemannian manifolds with almost quarter-pinched sectional curvature.
Cite
@article{arxiv.1709.02527,
title = {A note on the almost one half holomorphic pinching},
author = {Xiaodong Cao and Bo Yang},
journal= {arXiv preprint arXiv:1709.02527},
year = {2017}
}
Comments
6 pages. This is the version which the authors submitted to a journal for consideration for publication in June 2017. The reference has not been updated since then