2 problems

Let $dS^{+}$ denote the class of asymptotically de Sitter spaces with smooth future conformal infinity, and let $(M,g)$ be a space in $dS^{+}$. Let $m$ be its holographic mass, and…

Let $M$ be a de Sitter spacetime that is a small neighbourhood of a closed oriented spacelike hypersurface other than a sphere. Extension conjecture. Every such $M$ embeds in a uni…