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Oct 6, 2013 at 20:09 vote accept alvarezpaiva
Aug 7, 2013 at 16:33 answer added Vladimir S Matveev timeline score: 4
Aug 6, 2013 at 17:24 comment added Andrey Gogolev This is not much different from katz's answer, so I'd rather not. Here is a possible continuation: assume additionally that the set of non-periodic geodesics is dense.
Aug 6, 2013 at 16:36 comment added alvarezpaiva Thanks Andrey !! Could you please write this as an answer ?
Aug 6, 2013 at 16:17 comment added Andrey Gogolev Take a round sphere, drill a hole in it from the north pole to the south pole. This is a torus without transitive geodesics and with no trapped geodesics. You can attach some handles on periphery if you'd like to.
Aug 6, 2013 at 16:08 history edited alvarezpaiva CC BY-SA 3.0
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Aug 6, 2013 at 14:13 answer added Mikhail Katz timeline score: 4
Aug 6, 2013 at 11:19 history edited alvarezpaiva CC BY-SA 3.0
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Aug 6, 2013 at 9:16 history edited alvarezpaiva CC BY-SA 3.0
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Aug 6, 2013 at 8:55 history asked alvarezpaiva CC BY-SA 3.0