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Existence and uniqueness conjecture for AdS manifolds with prescribed convex boundary metrics
AdS convex-boundary conjecture. There exists a unique globally hyperbolic $\mathbb{A}\mathbbm{d}\mathbb{S}^3$ manifold homeomorphic to $S\times[-1,1]$ , with smooth, space-like and…
Conjectureopenanti-de-sitter-geometry convex-boundaries globally-hyperbolic-manifoldsarXiv posted 2 days ago

Existence and uniqueness conjecture for AdS manifolds with prescribed convex boundary metrics