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Area-minimizing currents bounded by higher multiples of curves

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Abstract

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).

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Authors and Affiliations

  1. Department of Math. 2-181, Massachussetts Inst. of Techn., 02139, Cambridge, MA, U.S.A.

    Frank Morgan

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  1. Frank Morgan
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Morgan, F. Area-minimizing currents bounded by higher multiples of curves. Rend. Circ. Mat. Palermo 33, 37–46 (1984). https://doi.org/10.1007/BF02844410

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  • DOI: https://doi.org/10.1007/BF02844410

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