82 citations · 404 across the 40 of their papers we have counts for
6 papers · 1 filter
On Euler characteristic and fundamental groups of compact manifolds
Bing-Long Chen, Xiaokui Yang
Let be a compact Riemannian manifold, be the universal covering and be a smooth -form on with cohomologous to zero. Suppose the…
RC-positivity, rational connectedness and Yau's conjecture
Xiaokui Yang
In this paper, we introduce a concept of RC-positivity for Hermitian holomorphic vector bundles and prove that, if is an RC-positive vector bundle over a compact complex manifo…
A partial converse to the Andreotti-Grauert theorem
Xiaokui Yang
Let be a smooth projective manifold with . We show that if a line bundle is -ample, then it is -positive. This is a partial converse to t…
Minimal complex surfaces with Levi-Civita Ricci-flat metrics
Kefeng Liu, Xiaokui Yang
This is a continuation of our previous paper [14]. In [14], we introduced the first Aeppli-Chern class on compact complex manifolds, and proved that the curvature form of t…
Scalar curvature, Kodaira dimension and -genus
Xiaokui Yang
Let be a compact Riemannian manifold with quasi-positive Riemannian scalar curvature. If there exists a complex structure compatible with , then the canonical bundle…
Scalar curvature on compact complex manifolds
Xiaokui Yang
In this paper, we prove that, a compact complex manifold admits a smooth Hermitian metric with positive (resp. negative) scalar curvature if and only if (resp. …