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• W3198729239 abstract "Cauchy-compact flat spacetimes with extreme BTZ are Lorentzian analogue of complete hyperbolic surfaces of finite volume. Indeed, the latter are 2-manifolds locally modeled on the hyperbolic plane, with group of isometries $mathrm{PSL}_2(R)$, admitting finitely many cuspidal ends while the regular part of the former are 3-manifolds locally models on 3 dimensionnal Minkowski space, with group of isometries $mathrm{PSL}_2(R)ltimes RR^3$, admitting finitely many ends whose neighborhoods are foliated by cusps. We prove a Theorem akin to the classical parametrization result for finite volume complete hyperbolic surfaces: the tangent bundle of the Teichmuller space of a punctured surface parametrizes globally hyperbolic Cauchy-maximal and Cauchy-compact locally Minkowski manifolds with extreme BTZ. Previous results of Mess, Bonsante and Barbot provide already a satisfactory parametrization of regular parts of such manifolds, the particularity of the present work reside in the consideration of manifolds with a singular geometrical structure with a singularities modeled on extreme BTZ. We present a BTZ-extension procedure akin to the procedure compactifying finite volume complete hyperbolic surface by adding cusp points at infinity" @default.
• W3198729239 created "2021-09-13" @default.
• W3198729239 creator A5063971460 @default.
• W3198729239 date "2021-05-17" @default.
• W3198729239 modified "2023-10-18" @default.
• W3198729239 title "Cauchy-compact flat spacetimes with extreme BTZ" @default.
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• W3198729239 doi "https://doi.org/10.1007/s10711-021-00629-8" @default.
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