Convex surfaces with prescribed induced metrics in anti‐de Sitter spacetimes
Convex surfaces with prescribed induced metrics in anti‐de Sitter spacetimes
Abstract Let be a closed surface of genus at least 2, let be a smooth metric of curvature on , and let be a hyperbolic metric on . We show that there exists a unique quasifuchsian AdS spacetime with left metric isotopic to , containing a past‐convex Cauchy surface with …