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Apr 18, 2018 at 19:36 comment added HJRW Although the geodesic flow of a hyperbolic group is mentioned frequently in Gromov’s seminal article on hyperbolic groups, nobody has managed to reproduce what he had in mind. The theorems he predicted were proved by other means. Eventually, Igor Mineyev produced a construction of the geodesic flow for an arbitrary hyperbolic group. It’s a very wild object; I don’t think it ever gives a manifold unless you start with one.
Jun 21, 2010 at 15:27 history edited Steve Huntsman CC BY-SA 2.5
update to include stuff on word hyperbolic groups
Jun 21, 2010 at 14:45 comment added Deane Yang Any chance you could elaborate on your answer and explicitly say where a manifold appears?
Jun 21, 2010 at 14:07 history edited Steve Huntsman CC BY-SA 2.5
added 95 characters in body
Jun 21, 2010 at 14:05 comment added Steve Huntsman mathoverflow.net/questions/8916/…
Jun 21, 2010 at 14:00 history answered Steve Huntsman CC BY-SA 2.5