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math.MG2025
Cocycle superrigidity for median spaces of finite rank
Biao Ma, Lamine Messaci
We systematically investigate cocycle superrigidity in the setting of finite rank median spaces for product groups and Kazhdan groups. By employing a dynamical approach to superrig…
math.DG2025
Existence of complete conformal metrics on with prescribed Q-curvature
Mingxiang Li, Biao Ma
Given a smooth function on which is positive somewhere and satisfies for any , we show that there exists a complete and conf…
math.DG2025
Constructing stable Hilbert bundles via Diophantine approximation
Yucheng Liu, Biao Ma
On any complex smooth projective curve with positive genus, we construct Hilbert bundles that admit Hermitian--Einstein metrics. Our main constructive step is by investigating the…