4 problems

Let $W_0$ denote the universal cover of anti-de Sitter space, and let $Z$ be the invariant anti-de Sitter quantity appearing in the Gegenbauer kernels. For the relevant parameter…

Let anti-de Sitter spacetime be the maximally symmetric solution of the vacuum Einstein equations with negative cosmological constant. Consider perturbations of anti-de Sitter spac…

Let $\operatorname{AdS}_3$ denote three-dimensional Anti-de Sitter space, and consider small smooth perturbations whose spatial dependence admits a radius of analyticity $\rho(t)$,…

Let $\operatorname{AdS}_{d+1}$ denote the Anti-de Sitter space in dimension $d+1$, with $d\geq 3$, and consider the spherically symmetric Einstein-scalar system with negative cosmo…