Mingxiang Li

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20242026

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math.DG2024

Conformal metrics with finite total Q-curvature revisited

Mingxiang Li

Given a conformal metric with finite total Q-curvature, we show that the assumptions on scalar curvature sensitively govern the Q-curvature integral. Additionally, we introduce a c…

math.DG2024

On positivity of the Q-curvatures of conformal metrics

Mingxiang Li, Xingwang Xu

We mainly show that for a conformal metric $g = u^{\frac{4}{n - 2 m}} ∣ d x ∣^{2}$ on $R^{n}$ with $n \geq 2 m + 1$ , if the higher order Q-curvature $Q_{g}^{(2 m)}$ is positive and has slow d…

math.DG2024

Obstructions to prescribed Q-curvature of complete conformal metrics on $R^{n}$

Mingxiang Li

We provide some obstructions to the prescribed Q-curvature problem for the complete conformal metrics on $R^{n}$ with finite total Q-curvature. One of them is a Bonnet-Mayer…

Conformal metrics with finite total Q-curvature revisited

On positivity of the Q-curvatures of conformal metrics

Obstructions to prescribed Q-curvature of complete conformal metrics on Rn

Obstructions to prescribed Q-curvature of complete conformal metrics on $R^{n}$