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- W2430192254 abstract "The aim of this article is to understand the geometry of limit sets in Anti-de Sitter space. We focus on a particular type of subgroups of $mathrm{SO}(2,n)$ called quasi-Fuchsian groups (which are holonomies of globally hyperbolic manifolds). We define a Lorentzian analogue of critical exponent and Hausdorff dimension of the limit set. We show that they are equal and bounded from above by the topological dimension of the limit set. We also prove a rigidity result in dimension 3, which can be understood as a Lorentzian version of a famous Theorem of R. Bowen in the Hyperbolic case." @default.
- W2430192254 created "2016-06-24" @default.
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- W2430192254 date "2016-06-17" @default.
- W2430192254 modified "2023-09-27" @default.
- W2430192254 title "Critical exponent and Hausdorff dimension for quasi-Fuchsian AdS manifolds" @default.
- W2430192254 hasPublicationYear "2016" @default.
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