34 citations · 123 across the 37 of their papers we have counts for
6 papers · 1 filter
Flat Higgs bundles over non-compact affine Gauduchon manifolds
Zhenghan Shen, Chuanjing Zhang, Xi Zhang
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…
A note on the generalization of the Kodaira embedding theorem
Chao Li, Xi Zhang, QiZhi Zhao
In this paper, by using analytical methods we obtain a generalization of the famous Kodaira embedding theorem.
Analytically stable Higgs bundles on some non-Kähler manifolds
Chuanjing Zhang, Xi Zhang
In this paper, we study Higgs bundles on non-compact Hermitian manifolds. Under some assumptions for the underlying Hermitian manifolds which are not necessarily Kähler, we solve t…
Stability of the conical Kähler-Ricci flows on Fano manifolds
Jiawei Liu, Xi Zhang
In this paper, we study the stability of the conical Kähler-Ricci flows on Fano manifolds. That is, if there exists a conical Kähler-Einstein metric with cone angle along the…
Hypersurfaces of the homogeneous nearly Kähler and with anticommutative structure tensors
Zejun Hu, Zeke Yao, Xi Zhang
Each hypersurface of a nearly Kähler manifold is naturally equipped with two tensor fields of -type, namely the shape operator and the induced almost contact structure $…
Numerically flat holomorphic bundles over non Kähler manifolds
Chao Li, Yanci Nie, Xi Zhang
In this paper, we study numerically flat holomorphic vector bundles over a compact non-Kähler manifold with the Hermitian metric satisfying the Gauduchon and Astheno-K…