5 papers · 1 filter
Iterative construction of Hermitian-Einstein metrics on stable bundles
Jiaxuan Fan, Zhiyao Xiong, Xiaokui Yang +1
Let be a stable holomorphic vector bundle over a compact Kähler (or Gauduchon) manifold . We show that for any real number and any initial Hermitian metric …
The prescribed Hermitian-Yang-Mills flow II
Zhiyao Xiong, Xiaokui Yang, Shing-Tung Yau
We prove an analogue of the classical Donaldson-Uhlenbeck-Yau theorem by using the prescribed Hermitian-Yang-Mills flow. Let be a holomorphic vector bundle over a compact Kähle…
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 Hermitia…
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 e…