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Dec 24, 2015 at 14:36 comment added Vladimir S Matveev After some thinking I understood that existence result for minimal surface bounded by an arbitrary Jordan curve is sufficient for my goals (so I do not need arbitrary jet to prove what I want.) Thanks!
Dec 18, 2015 at 11:12 comment added Vladimir S Matveev Thanks a lot, Igor. I did know the result (at least locally) since the proof of Douglas for the existence of the minimal surface, or at least the version of the proof I know survives if the target space is not flat; but the precise reference is very important
Dec 16, 2015 at 13:04 history answered Igor Rivin CC BY-SA 3.0