A note on the almost one half holomorphic pinching

Xiaodong Cao; Bo Yang

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arXiv · 1709.02527

A note on the almost one half holomorphic pinching

Xiaodong Cao·Bo Yang

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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.

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Xiaodong Cao, Bo Yang. 2017-09-08. A note on the almost one half holomorphic pinching. https://arxiv.org/abs/1709.02527

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