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Rigidity of anti-de Sitter (2+1)-spacetimes with convex boundary near the Fuchsian locus (2502.01599v1)
Published 3 Feb 2025 in math.GT, gr-qc, math.DG, and math.MG
Abstract: We prove that globally hyperbolic compact anti-de Sitter (2+1)-spacetimes with strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
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