2 papers
math.DG2019
Integral inequalities for holomorphic maps and applications
Yashan Zhang
We derive some integral inequalities for holomorphic maps between complex manifolds. As applications, some rigidity and degeneracy theorems for holomorphic maps without assuming an…
math.DG2018
Holomorphic sectional curvature, nefness and Miyaoka-Yau type inequality
Yashan Zhang
On a compact Kähler manifold, we introduce a notion of almost nonpositivity for the holomorphic sectional curvature, which by definition is weaker than the existence of a Kähler me…