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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…
math.DG2020
A Note On Andrews Inequality
Hao Fang, Biao Ma, Wei Wei
We prove some extensions of Andrews inequality.
math.DG2019
Constant Q-curvature metrics on conic 4-manifolds
Hao Fang, Biao Ma
We consider the constant Q-curvature metric problem in the given conformal class on conic 4-manifolds and study related differential equations.