摘要

Motivated by a previous work by Zheng and the second-named author, we study pinching constants of compact Kahler manifolds with positive holomorphic sectional curvature. In particular, we prove a gap theorem on Kahler manifolds with almost-one-half pinched holomophic sectional curvature. The proof is motivated by the work of Petersen and Tao on Riemannian manifolds with almost-quarter-pinched sectional curvature.

全文