Biao Ma

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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.DG2025

Existence of complete conformal metrics on $R^{n}$ with prescribed Q-curvature

Mingxiang Li, Biao Ma

Given a smooth function $f (x)$ on $R^{n}$ which is positive somewhere and satisfies $f (x) = O (∣ x ∣^{- l})$ for any $l > \frac{n}{2}$ , we show that there exists a complete and conf…

Constructing stable Hilbert bundles via Diophantine approximation

Existence of complete conformal metrics on Rn with prescribed Q-curvature

Existence of complete conformal metrics on $R^{n}$ with prescribed Q-curvature