Work

Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus

Year: 2026

Type: article

Abstract: We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a 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.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70439

Authors: Roman Prosanov, Jean‐Marc Schlenker

Institutions: University of Vienna, University of Luxembourg

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Austrian Science Fund