Rendiconti del Circolo Matematico di Palermo

, Volume 33, Issue 1, pp 37-46

First online:

Area-minimizing currents bounded by higher multiples of curves

  • Frank MorganAffiliated withDepartment of Math. 2-181, Massachussetts Inst. of Techn.

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For any positive integern, we give an example of a smooth Jordan curveC in IR4 such that the smallest integral current bounded bynC has less thann/k times the area of smallest integral current bounded bykC (1≤k<n).