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math.DG2026
Mean curvature nonpositivity and rational connectedness
Chuanjing Zhang, Xi Zhang
Let be a compact Gauduchon manifold and let be a holomorphic vector bundle on . We establish equivalent conditions for the existence of a Hermitian metric on wit…
math.DG2026
Long-time behavior of the Hermitian-Yang-Mills flow on non-Kähler manifolds
Zeng Chen, Chao Li, Chuanjing Zhang +1
In this paper, we study the long-time behavior of the Hermitian-Yang-Mills flow over compact Hermitian manifolds. We obtain the monotonicity of lower bound and upper bound of the e…
math.DG2026
Non-abelian Hodge correspondence over singular Kähler spaces
Chuanjing Zhang, Shiyu Zhang, Xi Zhang
In this paper, we establish the non-abelian Hodge correspondence over compact Kähler spaces with Kawamata log terminal (klt) singularities as well as over their regular loci, there…