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- W4299541034 abstract "For $d=4, 5, 6, 7, 8$, we exhibit examples of $mathrm{AdS}^{d,1}$ strictly GHC-regular groups which are not quasi-isometric to the hyperbolic space $mathbb{H}^d$, nor to any symmetric space. This provides a negative answer to Question 5.2 in [9A12] and disproves Conjecture 8.11 of Barbot-M'erigot [BM12]. We construct those examples using the Tits representation of well-chosen Coxeter groups. On the way, we give an alternative proof of Moussong's hyperbolicity criterion [Mou88] for Coxeter groups built on Danciger-Gu'eritaud-Kassel [DGK17] and find examples of Coxeter groups $W$ such that the space of strictly GHC-regular representations of $W$ into $mathrm{PO}_{d,2}(mathbb{R})$ up to conjugation is disconnected." @default.
- W4299541034 created "2022-10-02" @default.
- W4299541034 creator A5004276299 @default.
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- W4299541034 date "2017-08-07" @default.
- W4299541034 modified "2023-09-25" @default.
- W4299541034 title "Anti-de Sitter strictly GHC-regular groups which are not lattices" @default.
- W4299541034 doi "https://doi.org/10.48550/arxiv.1708.02101" @default.
- W4299541034 hasPublicationYear "2017" @default.
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