3 papers
math.DG2026
Non-Hermitian Yang--Mills Connections with Vanishing Chern Classes
Guangzhen Ren
We construct non-flat non-Hermitian Yang--Mills connections with zero Einstein constant on smoothly trivial rank-two bundles over compact Kähler surfaces, with positive harmonic me…
math.CV2026
rank-3 generalized Clifford manifold and its twistor space
Guangzhen Ren, Kai Tang, Qingyan Wu
We introduce the notion of a rank-3 generalized Clifford manifold, defined by a triple of generalized complex structures satisfying Clifford-type relations. We show that every such…
math.DG2021
Anti-self-dual connections over the D Heisenberg group and the twistor method
Guangzhen Ren, Wei Wang
In this paper, we introduce notions of -planes in D complex Heisenberg group and the twistor space as the moduli space of all -planes. So we can define an anti-self-dual (…