An upper bound of the total Q-curvature and its isoperimetric deficit for higher-dimensional conformal Euclidean metrics (Q982213)

The aim of the paper under review is to give not only an explicit upper bound of the total \(Q\)-curvature but also an induced isoperimetric deficit formula for the complete conformal metrics on \(\mathbb{R}^n\), \(n\geq 3\), with scalar curvature being nonnegative near infinity and \(Q\)-curvature being absolutely convergent.