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Feb 20, 2016 at 16:11 history edited Ben McKay CC BY-SA 3.0
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Mar 20, 2010 at 14:47 comment added Charlie Frohman One part of the question is about that. And indeed I couldn't see there was a good question in there.
Mar 19, 2010 at 21:14 comment added Sergei Ivanov You misinterpreted the question. What is asked is whether a single diffeomorphism $\phi_X\circ \phi_Y$ belongs to some one-parameter group (which may have nothing to do with the composition of flows).
Mar 19, 2010 at 20:57 comment added Charlie Frohman The composition of flows isn't a one parameter group in general so it doesn't define a vector field.
Mar 19, 2010 at 19:30 comment added Sergei Ivanov The question is not about $X\circ Y$, it is about their generated time 1 flow maps.
Mar 19, 2010 at 19:18 history answered Charlie Frohman CC BY-SA 2.5