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Mar 21, 2014 at 14:38 vote accept alvarezpaiva
Mar 21, 2014 at 14:38 comment added alvarezpaiva @Misha and Benoit: the title was for "connoisseurs", the statement of the result was to make it independent of previous acquaintance with projective geometry. Besides, in the general case I do need $C^1$.
Mar 21, 2014 at 14:34 comment added alvarezpaiva @BenoîtKloeckner: bien vu! Exactly the sort of elementary argument I was looking for.
Mar 21, 2014 at 12:46 comment added Misha ... in particular, being a bijection is enough for the map to belong to $PGL(n+1,R)$ (for $n\ge 2$).
Mar 21, 2014 at 12:25 comment added Benoît Kloeckner Oh, by the way: you do not need as much regularity as you assumed.
Mar 21, 2014 at 12:18 history answered Benoît Kloeckner CC BY-SA 3.0