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Un lemme de Kazhdan-Margulis-Zassenhaus pour les géométries de Hilbert

Mickaël Crampon, Ludovic Marquis (2013)

Annales mathématiques Blaise Pascal

On montre un lemme de Kazhdan-Margulis-Zassenhaus pour les géométries de Hilbert. Plus précisément, en toute dimension n , il existe une constante ε n > 0 telle que, pour tout ouvert proprement convexe Ω , pour tout point x Ω , tout groupe discret engendré par un nombre fini d’automorphismes de Ω qui déplacent le point x de moins de ε n est virtuellement nilpotent.

[unknown]

Ilia Smilga (0)

Annales de l’institut Fourier

Variétés anti-de Sitter de dimension 3 exotiques

François Salein (2000)

Annales de l'institut Fourier

Le but de cet article est d’exposer de nouveaux exemples de structures anti-de Sitter sur des fibrés en cercles au-dessus d’une surface hyperbolique qui ne sont pas, modulo revêtement et quotient finis, des déformations de structures homogènes.

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