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Title: The holomorphic sectional curvature and Chern Ricci curvature

Speaker: 汤凯 (浙江师范大学)

时间：2021年12月16日（周四）下午2:00—3:00 

地点：线上腾讯会议     会议ID： 546 711 156

Abstract

Firstly, we introduce the weighted orthogonal Ricci curvature -- a two-parameter version of Ni--Zheng's orthogonal Ricci curvature. This curvature serves as a very natural object in the study of the relationship between the Ricci curvature(s) and the holomorphic sectional curvature. In particular, in determining optimal curvature constraints for a compact Kaehler manifold to be projective. This is a joint work with Kyle Broder.

Secondly, we consider a natural notion of “almost nonpositive k-Ricci curvature”, which is weaker than the existence of a Kaehler metric with nonpositive k-Ricci curvature. When k=1, this is just the “almost nonpositive holomorphic sectional curvature” introduced by Zhang Y-S. We prove that a compact Kaehler manifold of almost nonpositive k-Ricci curvature must have nef canonical line bundle.

联系人：牛艳艳

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