Flat Higgs bundles over non-compact affine Gauduchon manifolds

27 Sep 2019 · Shen Zhenghan, Zhang Chuanjing, Zhang Xi ·

In this paper, we use the affine Hermitian-Yang-Mills flow to prove a generalized Donaldson-Uhlenbeck-Yau theorem on flat Higgs bundles over a class of non-compact affine Gauduchon manifolds.