5 papers
Existence of twisted Hermitian-Einstein metrics on unstable vector bundles
Mingwei Wang, Xiaokui Yang, Shing-Tung Yau
In this paper, we demonstrate that twisted Hermitian-Einstein metrics on holomorphic vector bundles exist without obstruction. More precisely, for an arbitrary holomorphic vector b…
Existence of Hermitian metrics with prescribed Hermitian-Yang-Mills tensors II
Jiaxuan Fan, Mingwei Wang, Xiaokui Yang +1
In this paper, we solve the prescribed Hermitian-Yang-Mills tensor problem for Higgs bundles over compact complex manifolds. Let be a Higgs bundle over a compact Hermiti…
Existence of Hermitian metrics with prescribed Hermitian-Yang-Mills tensors I
Mingwei Wang, Xiaokui Yang, Shing-Tung Yau
In this paper, we solve the prescribed Hermitian-Yang-Mills tensor problem. Let be a holomorphic vector bundle over a compact Kähler manifold . Suppose that there…
Weitzenböck-Bochner-Kodaira formulas with quadratic curvature terms
Mingwei Wang, Xiaokui Yang
In this paper we establish new Bochner-Kodaira formulas with quadratic curvature terms on compact Kähler manifolds: for any , $$ \left\langleÎ_{\overline \part…
First eigenvalue estimates on complete Kähler manifolds
Mingwei Wang, Xiaokui Yang
Let be a complete Kähler manifold of complex dimension . We prove that if the holomorphic sectional curvature satisfies , then the first eige…