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Jun 11, 2017 at 17:40 comment added Deane Yang The issue is not with $M$, where you can simply restrict to functions that are period in the second input. The issue is how to define Sobolev spaces of maps into a manifold $N$.
Jun 11, 2017 at 17:13 history edited Bazin CC BY-SA 3.0
added 276 characters in body
Jun 11, 2017 at 17:04 history answered Bazin CC BY-SA 3.0