Abstract
For the cylindrical norm onR 3, for which the isoperimetric shape is a cylinder rather than a round ball, there are analogs of the classical Delaunay surfaces of revolution of constant mean curvature.
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Morgan, F. Cylindrical surfaces of delaunay. Rend. Circ. Mat. Palermo 53, 469–477 (2004). https://doi.org/10.1007/BF02875739
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DOI: https://doi.org/10.1007/BF02875739