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Jul 22, 2014 at 12:12 vote accept Vesselin Dimitrov
Jul 21, 2014 at 19:07 history edited Asaf CC BY-SA 3.0
Addressed revised question.
Jul 21, 2014 at 12:12 comment added Vesselin Dimitrov Thank you very much! For the case of Nilmanifolds, I would wonder, then, if the closure of a geodesic is always (a) an immersed submanifold, which (b) is totally geodesic.
Jul 20, 2014 at 19:56 history answered Asaf CC BY-SA 3.0