Conformal metrics on the four-dimensional half sphere with symmetric $Q$ and $T$ curvatures

Sergio Cruz-Blázquez, Azahara DelaTorre

In this paper, we address the problem of prescribing non-constant $Q$ and boundary $T$ curvatures on the upper hemisphere ${\mathbb{S}}_{+}^4\subset {\mathbb{R}}^5$, via a conformal chan…