Jiaxuan Fan

collaborators

2 papers

math.DG2026

Iterative construction of Hermitian-Einstein metrics on stable bundles

Jiaxuan Fan, Zhiyao Xiong, Xiaokui Yang +1

Let $E$ be a stable holomorphic vector bundle over a compact KÃ¤hler (or Gauduchon) manifold $(M, I ¨ _{g})$ . We show that for any real number $I^¼ > 0$ and any initial Hermitian metric $h…

math.DG2026

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 $(E, I^¸)$ be a Higgs bundle over a compact Hermiti…