Asymptotically flat extensions of CMC Bartnik data

Armando J. Cabrera Pacheco, Carla Cederbaum, Stephen McCormick +1

Let $g$ be a metric on the $2$-sphere ${\mathbb{S}}^2$ with positive Gaussian curvature and $H$ be a positive constant. Under suitable conditions on $(g,H)$, we construct smooth, as…