On the Bartnik mass of non-negatively curved CMC spheres

Albert Chau, Adam Martens

Let $g$ be a smooth Riemannian metric on ${\mathbb{S}}^2$ and $H>0$ a constant. We establish an upper bound for the corresponding Bartnik mass ${\mathfrak{m}}_B({\mathbb{S}}^2,g,H)$ ass…