Integrability of scalar curvature and normal metric on conformally flat manifolds

Shengwen Wang, Yi Wang

On a manifold $({\mathbb{R}}^n,e^{2u}|dx{|}^2)$, we say $u$ is normal if the $Q$-curvature equation that $u$ satisfies $(-\Delta {)}^{\frac{n}{2}}u=Q_g{e}^{nu}$ can be written as the integ…