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Apr 28, 2016 at 14:33 comment added Joseph O'Rourke @BenoîtKloeckner: Thanks, and apologies for misinterpreting.
Apr 28, 2016 at 8:26 comment added Benoît Kloeckner I don't think the question is about triangulation by geodesic simplices. Otherwise, there would be a simpler answer as soon as $n\ge3$: most manifolds don't have totally geodesic submanifolds, so we don't have any geodesic simplex.
Apr 28, 2016 at 0:34 history answered Joseph O'Rourke CC BY-SA 3.0