A note on the almost-one-half holomorphic pinching |
| |
Authors: | Xiaodong Cao Bo Yang |
| |
Institution: | Department of Mathematics, 310 Malott Hall, Cornell University, Ithaca, NY 14853-4201, USA |
| |
Abstract: | Motivated by a previous work by Zheng and the second-named author, we study pinching constants of compact Kähler manifolds with positive holomorphic sectional curvature. In particular, we prove a gap theorem on Kähler 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. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|